Question

The article "Should You Report That Fender-Bender?"† reported that 7 in 10 auto accidents involve a single vehicle. Suppose 11 accidents are randomly selected. (Round your answers to five decimal places.)
What is the probability that exactly nine involve multiple vehicles?

Answer 1

Answer:

0.19975

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given:

n = 11

r = 9

p = 0.7

q = 0.3

Plugging in values:

P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)

P = 0.19975