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About 30​% of babies born with a certain ailment recover fully. A hospital is caring for...

About 30​% of babies born with a certain ailment recover fully. A hospital is caring for six 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.

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Answer #1

The trial in this experiment is selecting a baby with the certain ailment. Each of the trials has two possible outcomes - Yes or No i.e. the baby born with certain ailment could have either recovered fully or not. Hence, the experiment is a binomial experiment.

Success - Baby born with the certain ailment recovered fully.

Failure - Baby born with the certain ailment does not get recovered fully.

The random variable is the number of babies that recovered fully in our sample of 6 babies.

Hence, possible values for random variable =

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