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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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