Assume that a car rental company operates a fleet of 29 cars on a particular day. Historically, the probability that a customer will show up for a randomly selected reservation is 87%. 1. Assume that all 29 cars were booked. Let X be the number of reservations for which the customer showed up. a. Describe the distribution of X: X∼ (n= 29 ,p= 0.87 ) b. Find the probability that there will be available cars at the end of the day, in other words, find the probability that not all customers will show up: P(X≤ 28)= (Round the answer to 4 decimal places) c. Find the expected number of customers who show up to pick up a car: E[X]= (Round the answer to the whole number) d. Find the expected number of available cars a the end of the day by subtracting the E[X] from the number of available cars: (Round the answer to the whole number)
Assume that a car rental company operates a fleet of 29 cars on a particular day. Historically, the
1. Assume that all 29 cars were booked. Let X be the number of reservations for which the customer showed up.
a. Describe the distribution of X:
X∼ (n= 29 ,p= 0.87 )
b. Find the probability that there will be available cars at the end of the day, in other words, find the probability that not all customers will show up:
P(X≤ 28)= (Round the answer to 4 decimal places)
c. Find the expected number of customers who show up to pick up a car:
E[X]= (Round the answer to the whole number)
d. Find the expected number of available cars a the end of the day by subtracting the E[X] from the number of available cars:
(Round the answer to the whole number)
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