A biologist estimates that 40% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 124 or fewer deer have this tick?
A) 0.864
B) 0.702
C) 0.404
D) 0.298

Question

Quizplus · Accepted Answer

This is a binomial distribution problem where n (sample size) = 300, p (probability of success) = 0.40, and x (number of deer with the tick) ≤ 124. We need to find the cumulative probability of x ≤ 124 using a binomial probability table or calculator. Using the table or calculator, we find the probability to be approximately 0.702. Therefore, the best choice is B.

A Biologist Estimates That 40% of the Deer in a Region