Let X denote the number of times a certain numerical control machine will malfunction:1, 2, or 3 times on any given day. Let Y denote the number of times a technician is calledon an emergency call. Their joint probability distribution is given below:If(r.y)T2310.050.050.1030.050.100.35y50.000.200.10a. List the cumulative distribution function F(y).b. Find the conditional distribution of f(xly), P(X=11Y = 3).c. Find the conditional distribution of fivlx), P(X=31 Y = 3).d. Determine if the random variables are statistically independent considering f(2, 1)

Answered: Image /qna-images/answer/a7d7c660-8ba4-49e0-b528-acd580ea268f.jpg

Answered: Let X denote the number of times a…

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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Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. a. Find the probability that it will take more than an hour to hear a case. b. Find the probability that it will take exactly 1 hour to hear a case.
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 41% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. ww. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…
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