Homework SourseGiovanni ristorante advertises carry out orders that take 30
Giovanni ristorante advertises carry out orders that take 30 minutes. assume that the time required for a carry out order to be ready for customer pickup has an exponential distribution with a mean of 30 minutes. A) what is the probability that a carry out order will be ready in 25 minutes? B) If a customer arrives 40 minutes after placing the order, what is the probability that the order will not be ready? C) A customer lives 15 minutes from Giovanni\'s Ristorante. If the customer places an order at 5:15 PM, what is the probability that the customer can drive to Giovanni\'s Ristorante, pick up the order and get back home by 6:00 pm ?
Giovanni ristorante advertises carry out orders that take 30 minutes. assume that the time required for a carry out order to be ready for customer pickup has an exponential distribution with a mean of 30 minutes. A) what is the probability that a carry out order will be ready in 25 minutes? B) If a customer arrives 40 minutes after placing the order, what is the probability that the order will not be ready? C) A customer lives 15 minutes from Giovanni\'s Ristorante. If the customer places an order at 5:15 PM, what is the probability that the customer can drive to Giovanni\'s Ristorante, pick up the order and get back home by 6:00 pm ?
Giovanni ristorante advertises carry out orders that take 30 minutes. assume that the time required for a carry out order to be ready for customer pickup has an exponential distribution with a mean of 30 minutes. A) what is the probability that a carry out order will be ready in 25 minutes? B) If a customer arrives 40 minutes after placing the order, what is the probability that the order will not be ready? C) A customer lives 15 minutes from Giovanni\'s Ristorante. If the customer places an order at 5:15 PM, what is the probability that the customer can drive to Giovanni\'s Ristorante, pick up the order and get back home by 6:00 pm ?
Solution
X - the time required to carry out order ready
is exponential with mean = 30 minutes
A) probability that a carry out order will be ready in 25 minutes
= P(X=25)
= 0 as for a single value continuous distribution prob =0
If we take below 25 min
P(X<=25) = 1-e-25/30
= 0.5653
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b) P(X>40) = e-40/30 =0.2637
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C) P(X<45) = 1-e-45/30
= 0.7768
