A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88

The correct option is;

C. 0.3337

Step-by-step explanation:

We note that for a binomial probability distribution, we have;

Which gives;

P(r≥90)  is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 +  0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.

19

step-by-step explanation: