Question

Biologists estimate that a randomly selected baby elk has a 44% probability 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. Find the probability that exactly 4 of the baby elk survive to adulthood. Round your answer to 4 decimal places. Leave your answer in decimal form.

Answer 1

0.2304

Step-by-step explanation:

You want the probability that exactly 4 of 7 randomly selected baby elk survive to adulthood, given that the probability of any individual surviving to adulthood is 44%.

Binomial PDF

The probability that exactly 4 reach adulthood is ...

7C4·(0.44^4)·(1 -0.44)^(7-4) ≈ 0.2304

The probability that exactly 4 of 7 baby elk survive to adulthood is about 0.2304.