Question
About
of babies born with a certain ailment recover fully. A hospital is caring for five 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
Is the experiment a binomial experiment?
What is a success in this experiment?
Baby doesn’t recover
This is not a binomial experiment.
Baby recovers
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
Is the experiment a binomial experiment?
What is a success in this experiment?
Baby doesn’t recover
This is not a binomial experiment.
Baby recovers
Ask by Pena Bush. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Yes, the experiment is a binomial experiment. A success is a baby recovering fully. The values are
,
, and
. The possible values of the random variable
are 0, 1, 2, 3, 4, and 5.
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Yes, this experiment is a binomial experiment! In this context, a success is defined as the event where a baby recovers fully from the ailment. We have a fixed number of trials, which is
(the five babies), and the probability of success is
(since
recover). Consequently, the probability of failure (not recovering) is
.
The possible values for the random variable, which represents the number of babies that recover fully, can range from 0 to 5. Therefore, the possible outcomes are:
and
.