I. PROBLEM SOLVING. Show complete solutions. Label graphs completely. Save filename as lastname_act3.pdf 1. The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/4" 70 1/8" | No. of customer orders 3/8" 10 20 a) Determine the probability distribution. Graph f(x). b) Determine the cumulative distribution plot x vs f(x).
I. PROBLEM SOLVING. Show complete solutions. Label graphs completely. Save filename as lastname_act3.pdf 1. The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/4" 70 1/8" | No. of customer orders 3/8" 10 20 a) Determine the probability distribution. Graph f(x). b) Determine the cumulative distribution plot x vs f(x).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![PROBLEM SOLVING. Show complete solutions. Label graphs completely. Save filename as
lastname_act3.pdf
I.
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"
20
1/4"
3/8"
No. of customer orders
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).
3. Suppose that the probability density function of x is
f(x) = {3x², 0 <x < 1)
0,
elsewhere)
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%2Ffea39572-2950-4f25-9736-7742b0152bbc%2Fa0ee23be-57eb-470a-a564-da4445beeb0e%2Fvfc26ts_processed.png&w=3840&q=75)
Transcribed Image Text:PROBLEM SOLVING. Show complete solutions. Label graphs completely. Save filename as
lastname_act3.pdf
I.
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"
20
1/4"
3/8"
No. of customer orders
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).
3. Suppose that the probability density function of x is
f(x) = {3x², 0 <x < 1)
0,
elsewhere)
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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