The lifetime (X) of a bulb has an exponential distribution with a mean value of (E(X)=8000) hours.

Question:

The lifetime $X$ of a bulb has an exponential distribution with a mean value of $E(X)=8000$ hours. Calculate the probabilities

\[P(X \leq 4000), P(X>12000), \quad P(7000 \leq X<9000), \text { and } P(X<4000)\]

(time limits in hours).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

See More Books

Question Posted: Apr 26, 2024 04:00 PM

See More Questions

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
A survey of recent masters of business administration (MBAs) reveals that their starting salaries follow a normal distribution with mean $48,000 and standard deviation $9,000. Find the probability...
Prepare a cost of production report for the Cutting Department of Dalton Carpet Company for January 2016. Use the average cost method with the following data: Work in process, January 1, 3,400 units,...
Taking the same business as in Example 10.2, on closer analysis we find that of the overheads totalling 20,000 next month, 8,000 relate to machines (depreciation, maintenance, rent of the space...
What is flow processing, and what are its advantages and disadvantages? LO.1
Start with the partial model in the file Ch14 P13 Build a Model.xlsx on the textbook's Web site. J. Clark Inc. (JCI), a manufacturer and distributor of sports equipment, has grown until it has become...
Baxter Fence Company agrees to erect a six foot chain link fence around the perimeter of Buddys residential property in Menomonie in exchange for $5,000. The next day, Buddy discovers that he is...
The lifetimes of 5 identical bulbs are exponentially distributed with parameter $\lambda=1.25 \cdot 10^{-4}\left[h^{-1} ight]$. All of them are switched on at time $t=0$ and will fail...
A continuous random variable $X$ has the probability density \[f(x)=2 x, 0 \leq x \leq 1\] (1) Draw the corresponding distribution function. (2) Determine and compare the measures of variability...
If A 193-nm-wavelength UV laser for eye surgery emits a $0.500 \mathrm{~mJ}$ pulse. How many photons does the light pulse contain?
Tristan Walker of Walker & Company says, "We are only going to design, develop, and test products and services uniquely tailored to our community's needs. I get it. I'm a part of the community we are...
Ace Cosmetics Corporation purchased land adjacent to its plant to improve access for trucks making deliveries. Expenditures incurred in purchasing the land were as follows: purchase price, $55,000;...
7. At this point you now know information about both the horizontal and the vertical components of the projectile's velocity. In the space below, draw a diagram of the vector components of Vx and...
Complete autonomy in how you demonstrate the following criteria. In this module, we talked more about leadership. We discussed the differences between leadership theory which is a well-substantiated...
Accustart Ltd. acquired 38% of the common shares of Lecce Ltd. on January 1, 2024, by paying $5.76 million for 144,000 shares. Lecce declared a cash dividend of $0.60 per share in each quarter that...
Each year the faculty at Metro Business College chooses 10 members from the current graduating class that they feel are most likely to succeed. The data below give the current annual incomes (in...
A red card is illuminated by red light. What color will the card appear? What if its illuminated by blue light?
In 2019, Sunland Company had a break-even point of $388,000 based on a selling price of $5 per unit and fixed costs of $155,200. In 2020, the selling price and the variable costs per unit did not...
11. String Conversion Given a binary string consisting of characters '0's and '1', the following operation can be performed it: Choose two adjacent characters, and replace both the characters with...
Consider the table shown below to answer the question posed in part a. Parts b and c are independent of the given table. Callaway Golf (ELY) Alaska Air Group (ALK) Yum! Brands (YUM) Caterpillar...

The lifetime (X) of a bulb has an exponential distribution with a mean value of (E(X)=8000) hours.

Question:

Step by Step Answer:

Applied Probability And Stochastic Processes

Students also viewed these Business questions