CHAPTER 5

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1

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied.Surveying 100 teenagers and recording if they have ever committed a crime.

A.​No, because there are more than two possible outcomes and the trials are not independent.

B.Yes comma because all 4 requirements are satisfied.

C.​No, because the probability of success does not remain the same in all trials.

D.No comma because there are more than two possible outcomes.

Yes comma because all 4 requirements are satisfied.

2

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. An experimental drug is administered to 80 randomly selected​ individuals, with the number of individuals responding favorably recorded.Does the probability experiment represent a binomial​ experiment?

A.​No, because there are more than two mutually exclusive outcomes for each trial.

B.​No, because the trials of the experiment are not independent.

C.​No, because the probability of success differs from trial to trial.

D.​Yes, because the experiment satisfies all the criteria for a binomial experiment.

Yes, because the experiment satisfies all the criteria for a binomial experiment.

3

In a probability​ histogram, there is a correspondence between​ _______.

In a probability​ histogram, there is a correspondence between
area and probability.

4

A​ _______ variable is a variable that has a single numerical​ value, determined by​ chance, for each outcome of a procedure.

A random variable is a variable that has a single numerical​ value, determined by​ chance, for each outcome of a procedure.

5

A​ _______ random variable has either a finite or a countable number of values.

A discrete random variable has either a finite or a countable number of values

6

A​ _______ random variable has infinitely many values associated with measurements.

A continuous random variable has infinitely many values associated with measurements.

7

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied. Surveying 100 homemakers and recording how satisfied they are with their toaster on a surveying 100 homemakers and recording how satisfied they are with their toaster on a scale from 1 to 5scale the correct answer below.

A.​No, because there are more than two possible outcomes and the trials are not independent

.B.Yes comma because all 4 requirements are satisfied.Yes, because all 4 requirements are satisfied.

C.​No, because the probability of success does not remain the same in all trials.

D.No comma because there are more than two possible outcomes.

No comma because there are more than two possible outcomes.

8

Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify at least one requirement that is not satisfied.

Five hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 4000 registered voters. Each is asked if he or she is a member of political party​ A, recording Yes or No.

A.Yes comma the result is a binomial probability distribution.Yes, the result is a binomial probability distribution.

B.​No, the number of trials is not fixed.

C.​No, the probability of success is not the same in all trials.

D.​No, there are more than two possible outcomes.

E.No comma the trials are not independent and the sample is more than 5 % of the population.

No, the trials are not independent and the sample is more than 5% of the population.

9

Assume that a procedure yields a binomial distribution with n=8 trials and a probability of success of p.30. Use a binomial probability table to find the probability that the number of successes x is exactly 1.

0.98

USE CALCULATOR

STATISTIC

DIST

BIMN

BPD X=1, N =8, P .30

10

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Seven cards are selected from a standard​ 52-card deck without replacement. The number of aces selected is recorded.Does the probability experiment represent a binomial​ experiment?

A.​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.Your answer is correct.

B.​Yes, because the experiment satisfies all the criteria for a binomial experiment.

C.​No, because there are more than two mutually exclusive outcomes for each trial.

D.​No, because the experiment is not performed a fixed number of times.

No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

11

...

K= NUMBER PF SUCCESS

N= FIX NUMBER OF TRIALS

P= PROBABILITY OF SUCCESS ON EACH TRIAL

12

For the binomial​ distribution, which formula finds the standard​ deviation?

SQUARE npq

13

Identify the expression for calculating the mean of a binomial distribution

np