Question

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct.

Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
Does this scenario describe a binomial setting? Justify your answer.

A)This is not a binomial setting. The number of trails are not fixed in advance.

B)This is not a binomial setting. The probability of success is not the same for each trial.

C)This is not a binomial setting. We cannot reasonably assume that the outcomes are independent.

D)This is not a binomial setting. The given scenario is not binary.

E)This is a binomial setting and X has a binomial distribution with ^ = 7 and p = 0.44.

Answer 1

The correct answer is option A. This scenario does not describe a binomial setting because the number of trials are not fixed in advance.

Step-by-step explanation:

This scenario does not describe a binomial setting because it does not satisfy all the necessary conditions. A binomial setting requires a fixed number of trials, independent outcomes, and a constant probability of success for each trial. In this case, the number of trials is not fixed, as the researchers choose 7 baby elk at random to monitor. Additionally, the probability of survival to adulthood is not the same for each baby elk, as it is estimated to be 44% for a randomly selected baby elk.

Therefore, the correct answer is A) This is not a binomial setting. The number of trials are not fixed in advance.