Instructions: Construct the probability distribution based on the given scenario, ther answer the questions. From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. Construct a probability distribution below. T p(z) 0.92 1 0.03 0.03 3 0.02 What is the probability of a carton containing no defective transistors? P(z = 3 x )= 0.02 What is the probability that a carton has more that 2 defective transistors? P(x > 2 V )= 0.03 What is the probability that a carton will have between 1 and 3 defective transistors, inclusive? P( 1 v
Instructions: Construct the probability distribution based on the given scenario, ther answer the questions. From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. Construct a probability distribution below. T p(z) 0.92 1 0.03 0.03 3 0.02 What is the probability of a carton containing no defective transistors? P(z = 3 x )= 0.02 What is the probability that a carton has more that 2 defective transistors? P(x > 2 V )= 0.03 What is the probability that a carton will have between 1 and 3 defective transistors, inclusive? P( 1 v
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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Probability Distributions
Instructions: Construct the probability distribution based on the given scenario, then answer the questions.
From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3%
contain two defective transistors, and 2% contain three defective transistors. Construct a probability distribution below.
T p(z)
0.92
1
0.03
2
0.03
3
0.02
What is the probability of a carton containing no defective transistors?
P(x =
x )= 0.02
What is the probability that a carton has more that 2 defective transistors?
P(x > 2
v )= 0.03
What is the probability that a carton will have between 1 and 3 defective transistors, inclusive?
P(
1
V <I< 3
v )= 0.08
Calculate the mean, variance, and standard deviation for the defective transistors.
A = 0.15
0.5545](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50a8f6f0-ebf2-48c2-9cf1-47a13f27732c%2Fe0c43691-1af9-4964-8185-1555909ef362%2F5dzb2hu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:/SC
Probability Distributions
Instructions: Construct the probability distribution based on the given scenario, then answer the questions.
From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3%
contain two defective transistors, and 2% contain three defective transistors. Construct a probability distribution below.
T p(z)
0.92
1
0.03
2
0.03
3
0.02
What is the probability of a carton containing no defective transistors?
P(x =
x )= 0.02
What is the probability that a carton has more that 2 defective transistors?
P(x > 2
v )= 0.03
What is the probability that a carton will have between 1 and 3 defective transistors, inclusive?
P(
1
V <I< 3
v )= 0.08
Calculate the mean, variance, and standard deviation for the defective transistors.
A = 0.15
0.5545
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