a) A merchant receives a shipment of five photocopying machines, two of which are defective. He randomly selects three of the machines and checks them for faults. Let the random variable X be number of faulty machines in his selection. Find the probability distribution of random variable X in the table form. b) Let X be the random variable with the cumulative probability distribution: x < 0 0

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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a) A merchant receives a shipment of five photocopying machines, two of which are defective.
He randomly selects three of the machines and checks them for faults. Let the random
variable X be number of faulty machines in his selection. Find the probability distribution of
random variable X in the table form.
b) Let X be the random variable with the cumulative probability distribution:
x < 0
F(x)=kx²
1
0<x<2
x 22
Determine the value of k.
"
Transcribed Image Text:a) A merchant receives a shipment of five photocopying machines, two of which are defective. He randomly selects three of the machines and checks them for faults. Let the random variable X be number of faulty machines in his selection. Find the probability distribution of random variable X in the table form. b) Let X be the random variable with the cumulative probability distribution: x < 0 F(x)=kx² 1 0<x<2 x 22 Determine the value of k. "
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