Question

Ass 10. On the average, 10 cars arrive at the drive-up window of a bank every hour. Define the random variable X to be the number of cars arriving in any hour. a. Calculate the probability that less than 6 cars arrive in the next hour b. Compute the probability that exactly 5 cars will arrive in the next hour. C. Compute the probability that no more than 5 cars will arrive in the next hour.

Answer 1

mu) 9 2015 Given the average of cars carrive = 10 => 1 = 10 It follows poission distribution. Since P(x) = x D less than 6 cars arrive = P(XSW) =) PCX 562 & nis a functionat P(x) noch cars arrive in an hour. so P(x&6) = P(x=1) + P(X=2) ---- .. -- + P(x=0 80 P(x6) = 1029 ore udoben = 0.06708 3 frachly scary will conive= P(R25) - (10% = 0.0378 Engagements

3. No more than 5 cars will arruve P(+45) 2P (* = 0)+ P(x=2) +PCX -3) +PExey) + P(-5) - 6. 06709