Please do both and show the work. Fast Suppose that the length X of the life (in years) of a battery for a computer hasa distribution that can be described by the pdf:f(x) =128e64Determine the probability that the battery fails before the one year warrantyexpires on the computer.а) О0.1155b) O 0.0078c)0.2078d) O 0.0155e)0.9922f) O None of the above Let X be the amount of time (in hours) the wait is to get a table at a restaurant.Suppose the cdf is represented byx < 0F(x) =0 < x < 6361x > 6Use the cdf to determine ox.a) O 14.0000b) O 3.7417c) O 1.4142d) O 2.0000e) O 2.4142f) O None of the aboveReview Later

Answered: Image /qna-images/answer/e6216c2b-08b4-4a40-96d2-6055ecf4d271.jpg

Answered: Suppose that the length X of the life…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be the number of litres of milk shake that is requested at a café on a hot summer day. Assume that ??(??) = 12??(1000−??)21012 , 0<x<1000, zero elsewhere, is the pdf of x. How many litres of milk shake should the store have ready on each of these days, so that the probability of exhausting its supply on a particular day is 0.05?
Suppose that n observations are chosen at random from a continuous pdf fY(y). What is the probability that the last observation recorded will be the smallest number in the sample?
The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2P(x)=12e-x/2for x in [0,∞)[0,∞). Find the probability that a randomly selected laptop battery will last between 3 and 8 years?
Let the pdf of X be f(x)=3x^2, 0<x<1. Find the probability that X is greater than 0.3.
Find the probability that the range of a random sample of size 4 from theuniform distribution having the pdf f(x) = 1, 0 < x < 1, zero elsewhere, is lessthan 12 .
Suppose that n observations are chosen at random from a continuous pdf fY(y). What is the probability that the last observation recorded will be the smallest number in the sample? I asked this question earlier today, but didn't quite understand all of the response. P(y1<=yn)p(y2<=yn) and so on was used, but shouldn't the yn be listed first in the inequality since we want to know if yn is the smallest?
Suppose that the lifetime, X, and brightness, Y, of a light bulb are modeled as continuous random variables. Let their joint pdf be given by:f(x,y)=λ_1λ_2e^{-λ_1x-λ_2y},x,y>0 •Are lifetime and brightness independent?•Are lifetime and brightness uncorrelated?
Let X be a continuous random variable with pdf
Let X and Y are independent and both have exponential distribution,Find ??(?) , if Z=X+Y. Where PDF of X and Y are given as,??(?) = ??−???(?) and ??(?) = ??−???(?).
Find the pdf of e^x in terms of the pdf of X, base the answer to the case where X is uniformly distributed between 0 and 1
Suppose that a study of a certain computer system reveals that the response time, in seconds, has an exponential distribution with density curve f(x) = (1/3)e(-x/3) for x > 0 and f(x) = 0 otherwise. What is the probability that response time exceeds 5 seconds? What is the probability that response time exceeds 10 seconds?
let x denotes the percentage of time out of 40 hour workweek that a call center agent is serving a client by answering phone calls, suppose that x has probability density function defin by f(x)=3x^2 for 0< x < 1. find the mean and variance of x

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