1. The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thịckness (X; inches) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 a) Determine the probability distribution. Graph f(x). b) Determine the cumulative distribution plot x vs f(x).
1. The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thịckness (X; inches) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 a) Determine the probability distribution. Graph f(x). b) Determine the cumulative distribution plot x vs f(x).
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![1. The orders from n =
100 customers for wooden panels of various thickness (X) are summarized
as follows:
Wooden Panel Thickness (X; inches)
1/8"
1/4"
3/8"
No. of customer orders
20
70
10
a) Determine the probability distribution. Graph f(x).
b) Determine the cumulative distribution plot x vs f(x).
2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3
of the sets.
a) If x is the number of defective sets purchased by the hotel, find the probability distribution of
x. Express the results graphically as a probability histogram.
b) Find the cumulative distribution function of the random variable X representing the number
of defectives. Then using f(x), find (a) p(X = 1); (b) p(0 < X < 2).
%3D
3. Suppose that the probability density function of x is
f(x) = {**,
S3x², 0<x <1]
elsewheres
a) Determine p(x< (1/3)), p((1/3) <x < (2/3)), and p(x > (2/3))
b) Determine the cumulative distribution function of x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7315a13c-33e4-4bf1-b3b7-c03a0241e12e%2Ff94f5915-a4c0-492b-8562-8db8768f5b9b%2Ff2eqb8e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The orders from n =
100 customers for wooden panels of various thickness (X) are summarized
as follows:
Wooden Panel Thickness (X; inches)
1/8"
1/4"
3/8"
No. of customer orders
20
70
10
a) Determine the probability distribution. Graph f(x).
b) Determine the cumulative distribution plot x vs f(x).
2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3
of the sets.
a) If x is the number of defective sets purchased by the hotel, find the probability distribution of
x. Express the results graphically as a probability histogram.
b) Find the cumulative distribution function of the random variable X representing the number
of defectives. Then using f(x), find (a) p(X = 1); (b) p(0 < X < 2).
%3D
3. Suppose that the probability density function of x is
f(x) = {**,
S3x², 0<x <1]
elsewheres
a) Determine p(x< (1/3)), p((1/3) <x < (2/3)), and p(x > (2/3))
b) Determine the cumulative distribution function of x.
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