Question: The lifetime (hours) of an electronic device is a random variable with the exponential probability density function: f(x) = 1/50e-x/50 for x 0 a.

The lifetime (hours) of an electronic device is a random variable with the exponential probability density function:
f(x) = 1/50e-x/50 for x ≥ 0
a. What is the mean lifetime of the device?
b. What is the probability the device fails in the first 25 hours of operation?
c. What is the probability the device operates 100 or more hours before failure?

Step by Step Solution

★★★★★

3.39 Rating (180 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a 50 hours b P... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

148-M-S-P (514).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

1. Based on the forecasts above, use the spreadsheet below to construct a pro forma income statement for Idexo over the next five years. What is the annual growth rate of the firm's net income over...

Q:

The length of certain bricks is a random variable with a mean of 8 inches and a standard deviation of 0.1 inch, and the thickness of the mortar between two bricks is a random variable with a mean of...

Q:

The concentration of a reactant is a random variable with probability density function a. What is the probability that the concentration is greater than 0.5? b. Find the mean concentration. c. Find...

Q:

The concentration of a reactant is a random variable with probability density function a. What is the probability that the concentration is greater than 0.5? b. Find the mean concentration. c. Find...

Q:

: The lifetime (hours) of an electronic device is a random variable with the exponential probability density function: f (x) =1/50 e -x/50 for x > 0 a)what is the mean lifetime of the device? a....

Q:

36. The lifetime (hours) of an electronic device is a random variable with the following exponential probability density function. a. What is the mean lifetime of the device? b. What is the...

Q:

36. The lifetime (hours) of an electronic device is a random variable with the following exponential probability density function. a. What is the mean lifetime of the device? b. What is the...

Q:

36. The lifetime (hours) of an electronic device is a random variable with the following exponential probability density function. a. What is the mean lifetime of the device? b. What is the...

Q:

Suppose X has an exponential distribution with = 7 and y = g(x) = x^3/2 3 3. Suppose X has an exponential distribution with ii = T and y = 3(5):?) : x5. a} Find the expected value E (Y) and the...

Q:

1. Suppose X follows an exponential distribution with =2. Determine the following: a. P (X 2) b. P (X 2) c. Find the value of X such that P (X 2. The time between calls for a plumbing business is...

Q:

4. The lifetime (in hours) of an electronic device is a random variable that has an exponential probability density function. The average lifetime of this device is 50 hours. a. What is the...

Q:

Describe about the Innovation and entrepreneurship. And also discuss the following questions 1. Exposed to a deeper definition of creativity. Specifically, the authors described creativity as a...

Q:

In the November 1990 issue of Chemical Engineering Progress, a study discussed the percent purity of oxygen from a certain supplier. Assume that the mean was 99.61 with a standard deviation of 0.08....

Q:

In a DCF model, what does a NPV of zero imdicate?

Q:

As he sat in his office and watched customers walk in on a busy Friday night in April 2016, Prashant Goel, the owner and founder of Yalla Momos restaurant, contemplated its future expansion. He had...

Q:

The Harvey City Comprehensive Case consists of the last problem in each chapter from Chapters 4 through 15. Completing this case essentially requires that you account for all the transactions of a...

Q:

It's your first day as an analyst and you have been asked to prepare a valuation for an energy drink company that is set to go public on January 1. You are asked to prepare a financial model, which...

Q:

Understanding Operator Precedence and Associativity Summary In this lab, you complete a partially written Java program that is provided for you. The program, which was written for a furniture...

Q:

United Airlines flies to more than 200 domestic and international destinations and operates more than 3,300 lights a day. Although the airline's hubs are strategically located in Chicago, Denver, Los...

Q:

On June 30, 2010, James Roe sold his interest in the calendar-year partnership of Roe & Doe for $30,000. Roes adjusted basis in Roe & Doe at June 30, 2010, was $7,500 before apportionment of any 2010...

Q:

Ten weeks of data on the Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and 7.55. a. Compute the exponential smoothing values for = 0.2. b. Compute the exponential...

Q:

The enrollment data (figures in thousands) for a state college for the past six years are shown. Develop the equation for the linear trend component for this time series. Comment on what is happening...

Q:

The president of a small manufacturing firm has been concerned about the continual growth in manufacturing costs over the past several years. The following is a time series of the cost per unit (in...

Q:

1.Your parents promise to give you $83 a month for 4 years, starting at the end of this month, to help you out. At a 8.15 percent APR discount rate, what are these payments worth to you right now?...

Q:

Bank Management Chapter 2 Ratio Assignment: NAME: Using the Financial Statements attached, calculate the following ratios for 2017 and 2018 and comment on the change for each ratio. Show your...

Q:

What is the value of a call option if the underlying stock price is $76, the strike price is $78, the underlying stock volatility is 40 percent, and the risk-free rate is 58 percent? Assume the...