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 = 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 has a binomial distribution with =7 and
p =0.44

Answer 1

The scenario described is a binomial setting because it meets the characteristics of a binomial distribution with a fixed number of trials (7), two possible outcomes per trial, a consistent probability of success (44%), and independent trials.

Step-by-step explanation:

The scenario described indeed constitutes a binomial setting because it adheres to the requirements for a binomial distribution:

• There is a fixed number of trials (7 baby elk).
• There are only two possible outcomes for each trial: an elk survives to adulthood (success) or does not survive (failure).
• The probability of success (an elk surviving) is the same for each trial, which is 44%.
• The trials are independent; the outcome for one baby elk does not affect the outcome for another.

Therefore, the correct answer is E) This is a binomial setting and has a binomial distribution with n=7 and p=0.44.