37
QuizMultiple Choice

Topic Test

Question 37 • Applications and Modeling

Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10 are planted?

Answer
A
0.1298
B
0.385
C
0.12
D
0.141

Explanation

Use the binomial probability for exactly 7 germinating seeds: choose which 7 of the 10 germinate, then multiply by the probabilities of 7 successes and 3 failures. This gives C(10,7)(0.85)^7(0.15)^3 ≈ 0.1298, so the best answer is 0.1298.

AI-written and checked against the verified answer.

Previous
Next