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front 1 What is the probability of an event that is certain to occur? | back 1 D) 1 |

front 2 What is the probability of an impossible event? | back 2 D) 0 |

front 3 Which of the following cannot be a probability? | back 3 B) 5/3 |

front 4 On a multiple choice test with four possible answers for each
question, what is the probability of answering a question correctly if
you make a random guess? | back 4 A) 1/4 |

front 5 A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles. If
a marble is randomly selected | back 5 C) 3/14 |

front 6 Two 6-sided dice are rolled. What is the probability that the sum of
the two numbers on the dice will be 5? | back 6 C) 1/9 |

front 7 A class consists of 67 women and 12 men. If a student is randomly
selected, what is the probability that the student is a woman? | back 7 D) 67/79 |

front 8 In a certain class of students, there are 12 boys from Wilmette, 3
girls from Kenilworth, 9 girls from Wilmette, 6 boys from Glencoe, 2
boys from Kenilworth and 6 girls from Glencoe. If the teacher calls
upon a student to answer a question, what is the probability that the
student will be from Kenilworth? | back 8 A) 0.132 |

front 9 Find the indicated complement. | back 9 A) 0.852 |

front 10 Find the indicated probability. | back 10 A) 2/3 |

front 11 If you pick a card at random from a well shuffled deck, what is the
probability that you get a face card or a spade? | back 11 A) 11/26 |

front 12 The table describes the smoking habits of a group of asthma
sufferers. | back 12 B) 0.516 |

front 13 Of the 73 people who answered "yes" to a question, 14 were
male. Of the 53 people that answered "no" to the question, 9
were male. If one person is selected at random from the group, what is
the probability that the person answered "yes" or was male? | back 13 C) 0.651 |

front 14 A 6-sided die is rolled. Find P(3 or 5). | back 14 C) 1/3 |

front 15 A bag contains 6 red marbles, 2 blue marbles, and 1 green marble.
Find P(not blue). | back 15 C) 7/9 |

front 16 Find the probability of correctly answering the first 2 questions on
a multiple choice test if random guesses are made and each question
has 5 possible answers. | back 16 C) 1/25 |

front 17 A manufacturing process has a 70% yield, meaning that 70% of the
products are acceptable and 30% are defective. If three of the
products are randomly selected, find the probability that all of them
are acceptable. | back 17 C) 0.343 |

front 18 A bin contains 60 light bulbs of which 5 are defective. If 4 light
bulbs are randomly selected from the bin with replacement, find the
probability that all the bulbs selected are good ones. Round to the
nearest thousandth if necessary. | back 18 B) 0.706 |

front 19 When a pair of dice are rolled there are 36 different possible
outcomes: 1-1, 1-2, ... 6-6. If a pair of dice are rolled 5 times,
what is the probability of getting a sum of 5 every time? Round to
eight decimal places. | back 19 C) 0.00001694 |

front 20 In a homicide case 7 different witnesses picked the same man from a
line up. The line up contained 5 men. If the identifications were made
by random guesses, find the probability that all 7 witnesses would
pick the same person. | back 20 C) 0.0000128 |

front 21 You are dealt two cards successively (without replacement) from a
shuffled deck of 52 playing cards. Find the probability that both
cards are black. Express your answer as a simplified fraction. | back 21 C) 25/102 |

front 22 You are dealt two cards successively (without replacement) from a
shuffled deck of 52 playing cards. Find the probability that the first
card is a King and the second card is a queen. Express your answer as
a simplified fraction. | back 22 D) 4/663 |

front 23 What is the probability that 4 randomly selected people all have
different birthdays? Round to four decimal places. | back 23 A) 0.9836 |

front 24 A IRS auditor randomly selects 3 tax returns from 55 returns of which
6 contain errors.What is the probability that she selects none of
those containing errors? Round to four decimal places. | back 24 C) 0.7023 |

front 25 Provide a written description of the complement of the given event. | back 25 D) At least one of the engines is defective. |

front 26 Provide a written description of the complement of the given event. | back 26 D) At least one of the textbooks is free of errors. |

front 27 Find the indicated probability. Round to the nearest thousandth. | back 27 A) 0.999 |

front 28 Find the indicated probability. Round to the nearest thousandth. | back 28 A) 0.806 |

front 29 Find the indicated probability. | back 29 C) 2/5 |

front 30 The table describes the smoking habits of a group of asthma
sufferers. | back 30 C) 0.706 |

front 31 There are 13 members on a board of directors. If they must form a
subcommittee of 5 members, how many different subcommittees are
possible? | back 31 C) 1287 |

front 32 The library is to be given 7 books as a gift. The books will be
selected from a list of 16 titles. If each book selected must have a
different title, how many possible selections are there? | back 32 B) 11,440 |

front 33 The organizer of a television show must select 5 people to
participate in the show. The participants will be selected from a list
of 24 people who have written in to the show. If the participants are
selected randomly, what is the probability that the 5 youngest people
will be selected? | back 33 C) 1/42,504 |

front 34 How many 3-digit numbers can be formed using the digits 1, 2, 3, 4,
5, 6, 7 if repetition of digits is not allowed? | back 34 A) 210 |

front 35 How many ways can 6 people be chosen and arranged in a straight line
if there are 8 people to choose from? | back 35 A) 20,160 |

front 36 There are 9 members on a board of directors. If they must elect a
chairperson, a secretary, and a treasurer, how many different slates
of candidates are possible? | back 36 C) 504 |

front 37 A tourist in France wants to visit 5 different cities. If the route
is randomly selected, what is the probability that she will visit the
cities in alphabetical order? | back 37 D) 1/120 |

front 38 The number of oil spills occurring off the Alaskan coast | back 38 B) Discrete |

front 39 The braking time of a car | back 39 A) Continuous |

front 40 Find the mean of the given probability distribution. | back 40 C) μ = 2.39 |

front 41 Find the mean of the given probability distribution. | back 41 B) μ = 0.52 |

front 42 Find the standard deviation for the given probability distribution. | back 42 B) σ = 1.41 |

front 43 A police department reports that the probabilities that 0, 1, 2, and
3 burglaries will be reported in a given day are 0.49, 0.38, 0.10, and
0.03, respectively. Find the standard deviation for the probability
distribution. Round answer to the nearest hundredth. | back 43 B) σ = 0.78 |

front 44 Focus groups of 11 people are randomly selected to discuss products
of the Famous Company. It is determined that the mean number (per
group) who recognize the Famous brand name is 6.2, and the standard
deviation is 0.51. Would it be unusual to randomly select 11 people
and find that greater than 9 recognize the Famous brand name? | back 44 A) Yes |

front 45 Assume that a researcher randomly selects 14 newborn babies and
counts the number of girls selected, x. The probabilities
corresponding to the 14 possible values of x are summarized in the
given table. Answer the question using the table. | back 45 C) 0.183 |

front 46 Assume that a researcher randomly selects 14 newborn babies and
counts the number of girls selected, x. The probabilities
corresponding to the 14 possible values of x are summarized in the
given table. Answer the question using the table. | back 46 C) 0.007 |

front 47 A contractor is considering a sale that promises a profit of $20,000
with a probability of 0.7 or a loss (due to bad weather, strikes, and
such) of $14,000 with a probability of 0.3. What is the expected
profit? | back 47 A) $9800 |

front 48 Suppose you pay $2.00 to roll a fair die with the understanding that
you will get back $4.00 for rolling a 2 or a 4, nothing otherwise.
What is your expected value? | back 48 C) -$0.67 |

front 49 Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets
where the prize for the one winning ticket is to be $500.What is your
expected value? | back 49 D) -$0.50 |

front 50 A 28-year-old man pays $200 for a one-year life insurance policy with
coverage of $120,000. If the probability that he will live through the
year is 0.9994, what is the expected value for the insurance policy? | back 50 A) -$128.00 |

front 51 Determine whether the given procedure results in a binomial
distribution. If not, state the reason why. | back 51 B) Not binomial: the trials are not independent. |

front 52 Determine whether the given procedure results in a binomial
distribution. If not, state the reason why. | back 52 A) Procedure results in a binomial distribution. |

front 53 A test consists of 10 true/false questions. To pass the test a
student must answer at least 6 questions correctly. If a student
guesses on each question, what is the probability that the student
will pass the test? | back 53 D) 0.377 |

front 54 Find the probability of at least 2 girls in 10 births. Assume that
male and female births are equally likely and that the births are
independent events. | back 54 B) 0.989 |

front 55 An airline estimates that 90% of people booked on their flights
actually show up. If the airline books 71 people on a flight for which
the maximum number is 69, what is the probability that the number of
people who show up will exceed the capacity of the plane? | back 55 A) 0.005 |

front 56 A company purchases shipments of machine components and uses this
acceptance sampling plan: Randomly select and test 30 components and
accept the whole batch if there are fewer than 3 defectives. If a
particular shipment of thousands of components actually has a 6% rate
of defects, what is the probability that this whole shipment will be
accepted? | back 56 D) 0.732 |

front 57 A multiple choice test has 10 questions each of which has 5 possible
answers, only one of which is correct. If Judy, who forgot to study
for the test, guesses on all questions, what is the probability that
she will answer exactly 3 questions correctly? | back 57 C) 0.201 |

front 58 Suppose that 11% of people are left handed. If 5 people are selected
at random, what is the probability that exactly 2 of them are left
handed? | back 58 B) 0.0853 |

front 59 The probability is 0.6 that a person shopping at a certain store will
spend less than $20. For groups of size 24, find the mean number who
spend less than $20. | back 59 B) 14.4 |

front 60 A company manufactures batteries in batches of 26 and there is a 3%
rate of defects. Find the mean number of defects per batch. | back 60 B) 0.8 |

front 61 A company manufactures batteries in batches of 26 and there is a 3%
rate of defects. Find the standard deviation for the number of defects
per batch. | back 61 D) 0.9 |

front 62 What is the probability that the random variable has a value greater
than 4? | back 62 A) 0.500 |

front 63 What is the probability that the random variable has a value less
than 7.4? | back 63 C) 0.9250 |

front 64 What is the probability that the random variable has a value between
0.1 and 6.2? | back 64 B) 0.7625 |

front 65 Find the area of the shaded region. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. | back 65 C) 0.8708 |

front 66 Find the area of the shaded region. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. | back 66 C) 0.2776 |

front 67 Find the area of the shaded region. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. | back 67 D) 0.9656 |

front 68 If z is a standard normal variable, find the probability. | back 68 B) 0.2776 |

front 69 If z is a standard normal variable, find the probability. | back 69 C) 0.8340 |

front 70 If z is a standard normal variable, find the probability. | back 70 D) 0.7557 |

front 71 z0.05 | back 71 C) 1.645 |

front 72 Assume that adults have IQ scores that are normally distributed with
a mean of 100 and a standard deviation of 15 (as on theWechsler test).
Find the probability that a randomly selected adult has an IQ between
90 and 120 (somewhere in the range of normal to bright normal). | back 72 B) 0.6568 |

front 73 Find P40, which is the IQ score separating the bottom40% from the top
60%. | back 73 D) 96.2 |

front 74 Find the IQ score separating the top 14% from the others. | back 74 C) 116.2 |

front 75 The amount of rainfall in January in a certain city is normally
distributed with a mean of 3.4 inches and a standard deviation of 0.3
inches. Find the value of the quartile Q1. | back 75 B) 3.2 |

front 76 Assume that women have heights that are normally distributed with a
mean of 63.6 inches and a standard deviation of 2.5 inches. Find the
value of the quartile Q3. | back 76 D) 65.3 inches |

front 77 Assume that X has a normal distribution, and find the indicated
probability. | back 77 A) 0.4069 |

front 78 The diameters of pencils produced by a certain machine are normally
distributed with a mean of 0.30 inches and a standard deviation of
0.01 inches.What is the probability that the diameter of a randomly
selected pencil will be less than 0.285 inches? | back 78 C) 0.0668 |

front 79 A bank's loan officer rates applicants for credit. The ratings are
normally distributed with a mean of 200 and a standard deviation of
50. If an applicant is randomly selected, find the probability of a
rating that is between 200 and 275. | back 79 B) 0.4332 |

front 80 The lengths of human pregnancies are normally distributed with a mean
of 268 days and a standard deviation of 15 days. What is the
probability that a pregnancy lasts at least 300 days? | back 80 B) 0.0166 |

front 81 The scores on a certain test are normally distributed with a mean
score of 60 and a standard deviation of 2.What is the probability that
a sample of 90 students will have a mean score of at least 60.2108? | back 81 A) 0.1587 |

front 82 Assume that women's heights are normally distributed with a mean of
63.6 inches and a standard deviation of 2.5 inches. If 90 women are
randomly selected, find the probability that they have a mean height
between 62.9 inches and 64.0 inches. | back 82 D) 0.9318 |

front 83 Suppose that replacement times for washing machines are normally
distributed with a mean of 9.3 years and a standard deviation of 1.1
years. Find the probability that 70 randomly selected washing machines
will have a mean replacement time less than 9.1 years. | back 83 D) 0.0643 |

front 84 A final exam in Math 160 has a mean of 73 with standard deviation
7.8. If 24 students are randomly selected, find the probability that
the mean of their test scores is greater than 78. | back 84 A) 0.0008 |

front 85 A final exam in Math 160 has a mean of 73 with standard deviation
7.8. If 24 students are randomly selected, find the probability that
the mean of their test scores is less than 76. | back 85 B) 0.9699 |

front 86 The given values are discrete. Use the continuity correction and
describe the region of the normal distribution that corresponds to the
indicated probability. | back 86 C) The area to the right of 41.5 |

front 87 The given values are discrete. Use the continuity correction and
describe the region of the normal distribution that corresponds to the
indicated probability. | back 87 C) The area between 21.5 and 48.5 |

front 88 Estimate the indicated probability by using the normal distribution
as an approximation to the binomial distribution. | back 88 D) 0.9306 |

front 89 Estimate the indicated probability by using the normal distribution
as an approximation to the binomial distribution. | back 89 A) 0.0057 |

front 90 Estimate the indicated probability by using the normal distribution
as an approximation to the binomial distribution. | back 90 A) 0.0934 |