Given a random variable with probability distribution fundtion defined as below: f(x) = 0, otherwise (a) Find the value of 8. (b) Sketch the graph of the probability distribution function of х. (c) Find the probability that x is more than and equal to 4. (d) Calculate the mean and variance of x.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Given a random variable with probability distribution fundion defined as
below:
Bx,3 <xs6
0, otherwise
f(x) =
(a)
Find the value of 8.
(b)
Sketch the graph of the probability distribution function of
х.
(c)
Find the probability that x is more than and equal to 4.
(d)
Calculate the mean and variance of x.
Transcribed Image Text:Given a random variable with probability distribution fundion defined as below: Bx,3 <xs6 0, otherwise f(x) = (a) Find the value of 8. (b) Sketch the graph of the probability distribution function of х. (c) Find the probability that x is more than and equal to 4. (d) Calculate the mean and variance of x.
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