The probability density function for the life span of an electronics part is ft)- 0.06e-0.06, where it is the number of months in service. (Round your answers to three decimal places.)(a) Find the probability that a randomly selected part of this type lasts longer than 48 months.(b) Find the probability that a randomly selected part of this type lasts longer than 48 months given that it lasts longer than 36 months.

X~exp(θ) memory less property P(X>t|x>m)=P(X>t-m)

Answered: The probability density function for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Do you dislike waiting in line? Supermarket chain Kroger has used computer simulation and information technology to reduce the average waiting time for customers at 2,300 stores. Using a new system called QueVision, which allows Kroger to better predict when shoppers will be checking out, the company was able to decrease average customer waiting time to just 26 seconds (InformationWeek website). Assume that waiting times at Kroger are exponentially distributed. a. Which of the probability density functions of waiting time is applicable at Kroger? 1 а. f(x) — er = for æ >0 e 26 1 b. f(x) = 1 e 26 26 for æ >0 e 1 c. f(x) = 1 for æ 0 26 Select your answer - v b. What is the probability that a customer will have to wait between 15 and 30 seconds (to 4 decimals)? c. What is the probability that a customer will have to wait more than 2 minutes (to 4 decimals)?
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By the end of 2021, the percentage, ?, of the population (expressed in decimals) that will be vaccinated is given by the density function a. Find ?. b. Find the cdf ?(?) and use it to evaluate the probability that 30% to 60% will be vaccinated at the end of the year. Please answer this step by step and justify your answer.
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In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) = 0.9857 2.189 (b) P(0 ≤Z≤ c) = 0.3133 0.89 (c) P(C ≤ Z) = 0.1335 1.11 You may need to use the appropriate table in the Appendix of Tables to answer this question.
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Assume that the coin is flipped 4 times, and the random variable X is defined to be 2 times the number of heads minus 4 times the number of tails. How many different values are posslbe for the random variable X? Answer: 5 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order Values of X (these are all correct. I need help with finding the probabilities) -16, -10, -4, 2, 8 What are the probabilities? Thanks!

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