Question: The time each student takes to finish an exam has an exponential distribution with mean 45 minutes. In a class of 10 students, what is

The time each student takes to finish an exam has an exponential distribution with mean 45 minutes. In a class of 10 students, what is the probability that at least one student will finish in less than 20 minutes? Assume students’ times are independent.

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let X k denote the time it takes for the k th student to finish the exam so X k E... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability With Applications Questions!

Hughs Repair Shop specializes in repairing German and Japanese cars. The shop has two mechanics. One mechanic works ononly German cars and the other mechanic works on only Japanese cars. In either...

Vistaprint produces monitors and printers for computers. In the past, only some of them were inspected on a sampling basis. However, the new plan is that they all will be inspected before they are...

A major banking institution, Best Bank, plans to open a new branch office in Little-town. Preliminary estimates suggest that two tellers (and teller windows) should be provided, but this decision now...

Exponential distribution 6.12 It is 9:00 p.m. The time until Joe receives his next text message has an exponential distribution with mean 5 minutes. (a) Find the probability that he will not receive...

Nerd this in 1 hr paz 40$ 1 1. The stem-and-leaf diagram below displays the number of vacation days taken in 1997 by a sample of 40 employees of an electronics company. StemLeaves 000123334456889...

OPERATONS MANAGEMENT. IE 325 Homework 1 Due April 18th, 2021 @ 17:00 Important Notes: You can work alone or in teams of 2. Don't share your work with others (cheating will be penalized). All files...

using microsoft excel: Application #2: Students Cafeteria Consider a Students Cafeteria system with the following characteristics: Students arrive at a self-service cafeteria according to a random...

CR7.19 Consider the variable x time required for a college student to complete a standardized exam. Suppose that for the population of students at a particular university, the distribution of x is...

CR7.19 Consider the variable x 5 time required for a college student to complete a standardized exam Suppose that for the population of students at a particular university, the distribution of x is...

( 4 0 points ) Assume you are doing an intern at Delta and is required to simulate the queuing system. Let us assume the inter - arrival time of customers is stationary and follows exponential...

The following is return data for a retail sector ETF and energy sector ETF for the years 2015 to 2019. Year Retail Sector ETF Energy Sector ETF 2015 0.27 0.45 2016 0.31 0.44 2017 0.72 0.33 2018 0.29...

Fundamental Corporation uses allowance method to accounts uncollectible accounts receivables. Credit terms for sales is n30 (net is due at 30 days). Below is the company?s uncollectible policy:...

Winning the lottery. A state lotterys Pick 3 game asks players to choose a three-digit number, 000 to 999. The state chooses the winning three-digit number at random, so that each number has...

3. A(n) is a contract purchased from an insurance company that guarantees a series of regular payments for a set time.

Suppose we know that 10% of all hypertensive patients who are given a placebo will have their DBP lowered by 10 mm Hg after 1 month. Can we carry out some procedure to be sure we are not simply...

What assumptions have you made to carry out the procedure in Problem 6.41? Hypertension Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective in 20 of them. By...

What is the standard error of d ? Suppose we decide a better measure of the effectiveness of the drug is the mean decrease in blood pressure rather than the measure of effectiveness used previously....

During the prove milestone for the previous lesson, you wrote the part of this program that reads and processes two CSV files, one named products.csv that contains a catalog of products and one named...

16. 17. The following table gives Foust Company's earnings per share for the last 10 years. The common stock, 7.2 million shares outstanding, is now (1/1/22) selling for $61.00 per share. The...

Perform a financial analysis for a project using the format provided in Figure 4-5. Assume that the projected costs and benefits for this project are spread over four years as follows: Estimated...