7
QuizMultiple Choice

Binomial Probabilities

Question 7 • NC-Math 4

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?

Answer
A
0.04
B
0.10
C
0.19
D
0.43

Explanation

If 90% arrive on time, then the probability a package is late is 0.10. The probability of exactly 2 late packages among 10 is (10 choose 2)(0.10)²(0.90)⁸ = 45 × 0.01 × 0.430467 ≈ 0.19. So the answer is C, 0.19.

AI-written and checked against the verified answer.

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