Find the indicated probability. Round to three decimal places.
-A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 14 drivers living on one particular street, 3 were involved in a car accident last year. If 14 drivers are
Randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?
A) 0.906
B) 0.393
C) 0.126
D) 0.094

Question

Quizplus · Accepted Answer

The problem can be solved using the binomial probability formula. The probability of getting exactly k successes (drivers involved in accidents) in n trials (drivers selected) is given by P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where p is the probability of success. Here, n = 14, p = 0.09, and we want P(X ≥ 3). This is 1 - P(X < 3), which involves calculating P(X = 0), P(X = 1), and P(X = 2) and subtracting their sum from 1. The result is approximately 0.126.

Find the Indicated Probability