c. The time in minutes, until a customer approaches a cashier in a grocery, has anexponential distribution with mean A = 7.(i) Given that no customers approach the cashier in the first 10 minutes, what is theprobability that there are no customers in the next 5 minutes?State any theorems used.(ii) Let X denote the time it takes for a customer to approach the cashier. Find P(|X|> 2).

In Probability insights, the exponential distribution is a nonstop likelihood distribution that…

Answered: c. The time in minutes, until a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A sample of 150 is drawn from a population with a proportion equal to 0.42. a. Determine the probability of observing between 50 and 54 successes. b. Determine the probability of observing between 55 and 62 successes. c. Determine the probability of observing between 53 and 70 successes. ..... a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. The probability is (Round to four decimal places as needed.)
A machine is set to pump cleanser into a process at the rate of 5 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 5.0 to 8.0 gallons per minute. Would you expect the machine to pump more than 7.85 gallons per minute?
Use the following theorem. = If F(s) L{f(t)} and n = 1,2,3, dots, n n then L{i" f(1)} = (- 1)" d² _F(s). ds n Evaluate the given Laplace transform. (Write your answer as a function of s .) L{4t cos(t)}
. For the MyMy1 queueing model, why do the following results hold? (Hint: Remember that 1ym is the meanservice time. Then think how long a typical arrival must wait in the system or in the queue.) a. W 5 (L 1 1)ym b. WQ 5 Lym
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43. Six thousand light bulbs light a large hotel and casino marquee. Each bulb fails completely at random, and each has an average lifetime of 3,280 hours. Assuming that the marquee stays lit continuously and bulbs that burn out are replaced immediately, how many replacements must be made each year on the average? 14
The upper limit and lower limit condition can be tested through Select one: a. whatif function alone b. If within if function c. Single if function d. Countif with count function
An EIS and an EIR are largely indistinguishable. Group of answer choices True False
In modulation, the direction of where the wave begins is known as its: * Signal Phase Code Status O O O O
The likely be used to describe the distribution of time between arrivals of customers at the grocery store. Multiple Choice O O distribution would most O O normal uniform binomial exponential
11. Automobiles arrive at a tollbooth on a highway completely at random according to a Poisson process with rate À = 4 cars per hour. Determine the following: a. The probability that the time between any two successive arrivals exceeds 20 minutes. b. The probability that exactly four cars arrive in any given hour. c. The probability that more than five cars arrive in any given hour. d. The probability that more than 10 cars arrive in any given two-hour period. e. A person working for the transportation department begins counting arrivals at the tollbooth at 8 A.M. What is the probability that he counts 20 arrivals before 12 noon? (Use a normal approximation for your calculations.)

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