Suppose that an average of 30 customers per hour arrive at Shwapno and the time betweenarrivals is exponentially distributed.a. On average, how many minutes elapse between two successive arrivals?b. After a customer arrives, find the probability that it takes more than 8 minutes for the nextcustomer to arrive.c. After a customer arrives, find the probability that it takes less than 2 minutes for the nextcustomer to arrive.d. 70% of the customers arrive within how many minutes of the previous customer?e. Which is larger, the mean or the median?

Answered: Image /qna-images/answer/ad153bff-bbdd-4bee-8b42-694e0be44a40.jpg

Answered: Suppose that an average of 30 customers…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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On average, TV crash after 17,000 hours of continuous use. Although the time for the TV to crash is random, researchers have found that the duration until the computer crashes follows an exponential probability distribution. a. What is the probability that the TV will fail with a usage time of less than 17,000 hours?b. What is the probability that the TV will crash with a usage time of more than 17,000 hours?c. What is the probability that no TV will fail after more than 17,000 hours of use?d. What do you think about the results of points b and c above! What is the difference?
Suppose that the life-time of a certain printer follows an exponential distribution with mean 2 years. The manufacture of this printer offers 100% refund if the printer fails during the first year and 50% if it fails during the second year and none afterward. a. Evaluate the probability of full refund. A. 0.05 B. 0.24 C. 0.39 D. 0.47 E. 0.52 b. Assume that each printer costs $100.00. Determine the expected refund for each sold printer. A. 46 B. 51 C. 54 D. 61 E. 66
An insurance company will insure a $75,000 automobile for its full value against theft by apolicy with a premium of $1,500 per year. Suppose that the probability that the automobile willbe stolen is 0.0075.a. Construct the probability distribution.b. Calculate the insurance company's expected net profit for this policy.
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Claims for a health company insurance are exponentially distributed. An insurance company offers the subscriber two different types of insurance, class A has a coverage of 1.54. For a random loss, with a probability of 0.640. Class B has a coverage of d. with a probability of 0.512. The value of d is:
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D C 247 Order Accurate 134 Order Not Accurate 34 14 If one order is selected, find the probability of getting food that is not from Restaurant A. A 330 40 B 280 59 The probability of getting food that is not from Restaurant A is (Round to three decimal places as needed.)
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 25 seconds. Suppose Jerry needs 20 seconds to get across the house, and starts immediately after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught? Next ( Previous
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