Question: The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with = 0.00004. (a) What is

The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential with λ = 0.00004.
(a) What is the probability that the laser will last at least 20,000 hours?
(b) What is the probability that the laser will last at most 30,000 hours?
(c) What is the probability that the laser will last between 20,000 and 30,000 hours?

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The time to failure in hours for a laser in a cytometry machine i... 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

Document Format (1 attachment)

M-S-C-R-V (74).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The time to failure in hours of an electronic component subjected to an accelerated life test is shown in Table 4E.1. To accelerate the failure test, the units were tested at an elevated temperature...

The time to failure in hours of an important piece of electronic equipment used in a manufactured DVD player has the density function(a) Find F(x).(b) Determine the probability that the component...

The time to failure in hours of an electrical circuit subjected to a high temperature has a Weibull distribution with parameters a = 3 and = 0.5. (a) What is the median failure time of a circuit?...

Suppose f(x) = 1.5x for 1

Incorrect. There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged...

The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with = 0.00004. Round the answers to 3 decimal places. (a) What is the probability that the...

I. Realic el siguiente problema: Para los siguientes datos: EX=41 Ex=149 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 6 b) Calcule 1) la media o promedio 2) cuartil-1 3) cuartil-2 o mediana 4) cuartil-3 5)...

The US The Bureau of Labor Statistics reports that the average annual expenditure on food and beverages for a family is 55700 (Noney. December 2003). Assume that the annual expenditures on food and...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

U.S. Copyright Law (title 17 of U.S. code) governs the reproduction and redistribution of copyrighted material. Downloading this document for the purpose of redistribution is prohibited. Chapter 15...

A curve for which y" = x passes through the point (1, -1) with a slope of. Find the value of constant of integration C2. 2 . 19 B. - 8. 13 D. - . - 6. 3 6

Assume Facebook is expanding into Ireland. The company must decide where to locate and how to finance the expansion. Identify the financial statement where these decision makers can find the...

On Thursday 3 / 1 3 / 2 0 2 5 , a corporate bond issued by Nike was sold. The 2 . 8 5 0 % percent coupon bond that matures on 3 / 2 7 / 2 0 3 0 . The bond was priced at a yield to maturity of 4 . 7 5...

Reconsider Prob. 18-91. Now, it is proposed that the liquid water coming out of the separator be routed through another flash chamber maintained at 150 kPa, and the steam produced be directed to a...

The schematic of a single-flash geothermal power plant with state numbers is given in Fig. P1026, geothermal resource exists as saturated liquid at 230°C. The geothermal liquid is withdrawn from...

A residential district is to be heated by geothermal water in winter. On an average winter day, geothermal water enters the main heat exchanger network of the district at 90oC at arate of 70 kg/s and...

A hydroelectric power plant consists of 18 identical turbine-generator units with an overall plant efficiency of 90 percent. The gross head of the dam is 150 m and the flow rate through each turbine...

The piping efficiency of a hydroelectric power plant is estimated to be 98 percent while the turbine efficiency based on the net head is 87 percent and the generator efficiency is 97 percent. If the...

What questions does the case study raise about managing across diverse cultures?

Reconsider the previous exercise about the study of whether there is an association between number of flip-flops and a persons sex. The following is output from carrying out the randomization test...

Reconsider the previous exercises about the study of whether there is an association between number of flip flops and a persons sex. a. Use the 2SD method and the information available in the...

Reconsider the previous exercises about the study of whether there is an association between number of flip-flops and a persons sex. The p-value for the randomization-based test of whether the...

BP's stock price fell when the first news reports of the Deepwater Horizon oil spill aired. This is an example of Undiversifiable risk Unsystematic risk Systematic risk Market risk

I have the correct answers listed below except for part B. Please show work for PART B. Warrants Maese Industries Inc. has warrants outstanding that permit the holders to purchase 1 share of stock...

You currently have $ 6 , 4 0 0 ( Present Value ) in an account that has an interest rate of 7 % per year compounded annually ( 1 times per year ) . You want to withdraw all your money when it reaches...