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About 20% of babies born with a certain ailment recover fully. A hospital is car

ID: 3309428 • Letter: A

Question

About 20% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.

Is the experiment a binomial experiment?

What is a success in this experiment? Choose one

Baby recovers

Baby doesn't recover

This is not a binomial experiment.

Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.

A. n =?

B.This is not a binomial experiment.

Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.

A. p =?

B. This is not a binomial experiment.

Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.

A. q=?

B. This is not a binomial experiment.

List the possible values of the random variable x.

x equalsx=0,1, 2,..., 7

x equalsx=1,2, 3,..., 7

x equalsx=0,1, 2,..., 6

This is not a binomial experiment.

Explanation / Answer

Ans:

Is the experiment a binomial experiment?

Yes,this is binomial experiment as there are only two outcomes either baby recover or does not recover.

What is a success in this experiment?

Baby recovers

Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.

A. n =7

Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.

A. p =0.2

Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.

A. q=1-p=1-0.2=0.8

p=probability of success i.e. baby recovers=0.2

q=probability of failure=1-p=1-0.2=0.8

q=0.8

List the possible values of the random variable x.

x equals x=0,1, 2,..., 7

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