The delivery time of a shipment from a supplier to a retailer is exponentiallydistributed with mean 7 days. The supplier must deliver a shipment by 14 days.What is the probability that shipment takes more than 14 days? Show your work.

Answered: The delivery time of a shipment from a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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David Ortiz, a professional baseball player who retired in 2016, had a batting average of 0.290 during his time with the Boston Red Sox. This means he had a probability of 0.290 of making a safe hit on each time at bat. What is the probability that it takes exactly 4 times at bat for David Ortiz to make a safe hit for the first time? Do not enter probability in terms of percentage. Round your answer to four decimal places.
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The magnitudes of earthquakes recorded in a region of North America can be modeled by an exponential distribution with a mean of 2.4 as measured on the Righter scale. Of the next 10 earthquakes to strike this region, find the probability that at least one will exceed 5.0 on the Richter scale.
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The manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. After checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 5 minutes. What propotion of customers require more than 10 minutes to check out?
An economist has observed that the time between recessions has an exponential distribution with mean 100 months. Find the probability that the time between recessions will be located in the interval (50, 200) months given that it exceeds 100 months. (Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.
The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 7 minutes. What is the probability that a car can complete the transaction in less than 4 minutes? Probability =
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The delivery time of a shipment from a supplier to a retailer is exponentially distributed with mean 7 days. The supplier must deliver a shipment by 14 days. What is the probability that shipment takes more than 14 days? Show your work.