39. 1. A set of 10 computers, 3 of which are defective, is sampled for inspection. Three computers are taken for inspection. Find (a) the expected value of the number of good computers. (b) the variance of the number of good computers. 2. A random variable X has probability distribution given by Find (a) The mean of X. ƒ (x) = { x-1 21, 1< x <3 0, otherwise (b) The variance of X. (c) The expected value of the random variable g(x) = 3X +2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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39.
1. A set of 10 computers, 3 of which are defective, is sampled for inspection. Three
computers are taken for inspection. Find
(a) the expected value of the number of good computers.
(b) the variance of the number of good computers.
2. A random variable X has probability distribution given by
Find
(a) The mean of X.
ƒ (x) = {
x-1
21, 1< x <3
0,
otherwise
(b) The variance of X.
(c) The expected value of the random variable g(x) = 3X +2.
Transcribed Image Text:39. 1. A set of 10 computers, 3 of which are defective, is sampled for inspection. Three computers are taken for inspection. Find (a) the expected value of the number of good computers. (b) the variance of the number of good computers. 2. A random variable X has probability distribution given by Find (a) The mean of X. ƒ (x) = { x-1 21, 1< x <3 0, otherwise (b) The variance of X. (c) The expected value of the random variable g(x) = 3X +2.
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