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 requirements for a binomial experiment are not met.

Step-by-step explanation:

This scenario does not describe a binomial setting. The definition of a binomial experiment includes three requirements: a fixed number of trials, the same probability of success for each trial, and independence of the outcomes. In this case, the number of trials is not fixed in advance, as researchers are choosing randomly. Additionally, the probability of survival is not the same for each baby elk, as it is estimated to be 44%. Lastly, we cannot reasonably assume that the outcomes are independent, as the survival of one baby elk may be influenced by the survival of others.

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