Answers College Prep Math B - IC26 Binomial Random VariablesQuestion 12

12

AssignmentMultiple Choice

Binomial Random Variables

Question 12 • College Prep Math B - IC26

Zoologists estimate that a randomly selected baby giraffe has a 32% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers select 100 baby giraffes at random to tag and monitor. Let X = the number that survive to adulthood.What is the shape of the probability histogram of X?

Answer

A

Approximately symmetric

B

Approximately uniform

C

Skewed right

D

Skewed left

Explanation

X follows a binomial distribution with n = 100 and p = 0.32. The expected number of survivors is 100(0.32) = 32, and the expected number who do not survive is 100(0.68) = 68; both are large enough for the histogram to be approximately symmetric.

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