Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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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Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical
fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the
number of defectives within the sample. In a sample of 25 fuses, find the probabilities:
(a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4).
===
B Suppose the discrete random variable X has the PDF as in the table below.
Find: (a) F(7), (b) E(4-3X).
I
4
6
7
8
9
f(x)
0.2
0.25
0.15
0.3
0.1
Transcribed Image Text:Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1
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