Binomial Distribution or Not?

Determine whether the given procedure results in a binomial distribution.

Question 1(0.67 points)

Surveying 250 married couples and recording whether there is a "yes" response when they are asked if they have any children.

Question 1 options:

This is a binomial distribution.

This is not a binomial distribution since there is not a fixed number of trials.

This is not a binomial distribution since the trials are not independent.

This is not a binomial distribution since there are more than 2 outcomes

Question 2(0.67 points)

Recording the number of children in 250 families.

Question 2 options:

This is not a binomial distribution since there is not a fixed number of trials.

This is not a binomial distribution since the trials are not independent.

This is not a binomial distribution since there are more than 2 outcomes

This is a binomial distribution.

Question 3(0.67 points)

Drawing 5 cards from a standard 52 card deck, without replacement and recording the number of clubs.

Question 3 options:

This is not a binomial distribution since there is not a fixed number of trials.

This is not a binomial distribution since the trials are not independent.

This is a binomial distribution.

This is not a binomial distribution since there are more than 2 outcomes

Question 4(0.67 points)

A quality control clerk determines whether each of 500 defibrillators is acceptable or defective

Question 4 options:

This is not a binomial distribution since there are more than 2 outcomes

This is a binomial distribution.

This is not a binomial distribution since the trials are not independent.

This is not a binomial distribution since there is not a fixed number of trials.

Question 5(0.67 points)

Treating smokers with Nicorette and recording whether there is a "yes' response when they are asked if they experience any mouth or throat soreness.

Question 5 options:

This is a binomial distribution.

This is not a binomial distribution since there are more than 2 outcomes

This is not a binomial distribution since there is not a fixed number of trials.

This is not a binomial distribution since the trials are not independent.

SCENARIO 1

The probability that a student uses the Tutorial Center on a regular basis is 0.33.In a group of 18 students, find the given probabilities.Round answers to four decimal places.

Question 6(0.66 points)

What is the probability that exactly 5 of the 18 students use the Tutorial Center on a regular basis?Round the answer to four decimal places.

Question 6 options:

0.1838

0.8162

0.5759

0.4241

Question 7(0.66 points)

What is the probability that at least 3 of the 18 students use the Tutorial Center on a regular basis?Round the answer to four decimal places.

Question 7 options:

0.1070

0.9725

0.9562

0.0722

Question 8(0.66 points)

What is the probability that at most 12 of the 18 students use the Tutorial Center on a regular basis?Round the answer to four decimal places.

Question 8 options:

0.9999

0.0028

0.0008

0.9992

Question 9(0.67 points)

What is the expected number (mean) of students that regularly visit the Tutorial Center?Round to the nearest whole number.

Question 9 options:

2

4

6

0

Question 10:

What is the standard deviation for the number of students who regularly visit the Tutorial Center?

Question 10 options:

3.99

5.94

1.99

0

SCENARIO 2

60 Minutes, a CBS television show, has been successful for over 50 years.Recently, Nielsen Ratings reported that among the TV sets in use, 20% were tuned to60 Minutes.Assume an advertiser wants to verify that 20% share value by conducting its own survey.A pilot survey begins with 10 households having TV sets in use at the time of the60 Minutesbroadcast.

Question 11(0.66 points)

Find the probability that none of the households are tuned to60 Minutes.Round answer to four decimal places.

Question 11 options:

0.8926

0.1074

0.0003

0.8171

Question 12(0.66 points)

Find the probability that at least 7 households are tuned to60 Minutes.Round the answer to four decimal places.

Question 12 options:

0.9999

0.0008

0.9991

0.0009

Question 13(0.67 points)

Find the probability at most 5 households are tuned to60 Minutes.Round the answer to four decimal places.

Question 13 options:

0.0064

0.9936

0.9672

0.0264

Question 14(0.67 points)

What is the expected number (mean) of households with the TV tuned to60 Minutes?

Question 14 options:

1.6

2

8

1.26

Question 15(0.67 points)

What is the standard deviation for the number of households with the TV tuned to60 Minutes?

Question 15 options:

1.26

8

2

1.6