About 70 of babies born with a certain ailment recover fully

About 70% of babies born with a certain ailment recover fully.A hospital is caring for six babies born with thiss 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 posssible values of the randdom variable x.

Is the experiment a binomial experiment?

A)No

B)yes

What is a success in this experiment?

A) Baby recovers

B) This is not a binomial experiment.

C) Baby doens\'t recover

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 exxperiment.

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.

A) x= 0,1,2,.....6

B)x= 1,2,3.....6

C)x=0,1,2,.....5

D) This is not a binomial experiment.

Due in 20 minutes!!

Solution

1. Yes, It is surely Binomial distribution.

Defintion: let X denote the number of successes out of a sample of n observations. If each observation is a success with probability p independently of the other observations, then X is a binomial random variable with parameters n and p.

2. Correct Answer (A) : Baby recovers (success)

Given the random variable represents the number of babies that recover fully.

3. Correct answer (A) n = 6

Given a hospital is caring for six babies born with thiss ailment.

4. Correct answer (A)

P = 70% = 0.70

Given about 70% of babies born with a certain ailment recover fully.

4. Correct answer (A)

   q = 1 - p

       = 1 - 0.70

      = 0.30   In binomial distribution p + q = 1

5. Correct Answer (A)

List the possible values of the random variable x.

A) x= 0,1,2,.....6

Since the recovered babyes may be 0 baby or one baby or two babies or ....or 6 babies out of 6 babies.