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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.
, Let X be the random variable with the cumulative probability distribution:
0
F(x) = {kx²
x < 0
0≤x≤2
x ≥ 2
Determine the value of k.
Lux
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. , Let X be the random variable with the cumulative probability distribution: 0 F(x) = {kx² x < 0 0≤x≤2 x ≥ 2 Determine the value of k. Lux
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