Question: please help me to work out this problem, thank you! (1 point) The life times, Y in years of a certain brand of low-grade lightbulbs

please help me to work out this problem, thank you!

(1 point) The life times, Y in years of a certain brand of low-grade lightbulbs follow an exponential distribution with a mean of 0.5 years. A tester makes random observations of the life times of this particular brand of lightbulbs and records them one by one as either a success if the life time exceeds 1 year, or as a failure otherwise. Part a) Find the probability to 3 decimal places that the first success occurs in the fifth observation. Part b) Find the probability to 3 decimal places of the second success occurring in the 8th observation given that the first success occurred in the 3rd observation. Part c) Find the probability to 2 decimal places that the first success occurs in an odd-numbered observation. That is, the first success occurs in the 1st or 3rd or 5th or 7th (and so on) observation

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

Appendix Tables A-9 Table A.5 Critical Values for t Distributions 4, density curve Shaded area - a 0 .10 .05 025 .01 .005 .001 .0005 3.078 6.314 12.706 31.821 63.657 318.31 636.62 1.886 2.920 4.303...

Case Study: please someone should help me answer my case study assignment. thank you 1. What do you do when one of your small competitors pulls out its big gun? 2. "Do you really think people will...

The life times, Y in years of a certain brand of lowgrade lightbulbs follow an exponential distribution with a mean of 0.75 years. A tester makes random observations of the life times of this...

The life times, Y in years of a certain brand of low-grade lightbulbs follow an exponential distribution with a mean of 0.7 years. A tester makes random observations of the life times of this...

1. Is Mercury an appropriate target for AGI? Why or why not? 2. Estimate the value of Mercury using a discount cash flow approach. Please show calculation steps for the FCF, WACC, and Enterprise...

Hi, Attached is Prof. Lisa Cook's Planet Money Interview. Could you please help to briefly answer the following questions. Thank you very much in advance! 1, How is the research of Prof. Lisa Cook's...

Need script to do sentimental analysis in python for amazon review data Here is the dataset text ## I purchased this monitor because of budgetary concerns . inexpensive[+1][a] ## This item was the...

please complete the answer sheet using 2016 annual report Financial Statement Analysis Project ANSWER SHEET Name(s): No. Question 1. Who is responsible for the financial statements and maintaining...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

(Multiple choice) (1) True or false: (a) Only the net force acting on an object can do work. (b) No work is done on a particle that remains at rest. (c) A force that is always perpendicular to the...

Here are some important interview questions and answers for mechanical engineering: 1. Question: What is the first law of thermodynamics? Explain its significance in mechanical engineering. 2....

Ch 1 2 Assessment Question 6 of 1 0 The income statement of Sheridan Company is presented here. \ table [ [ Sheridan Company Income Statement For the Year Ended November 3 0 , 2 0 2 2 ] , [ Sales...

Trump Company constructed various assets at a total cost of $8,400,000during 2019. The weighted average accumulated expenditures on assets qualifying for capitalization of interest during 2019were...