t 28 where n! x(n-x)! Expectation and Variance of a Binomial Random Variable E(X)-Σxp(x) www -mp. (X)-E(X-µ)² -ap(-p) The Binomial Distribution Example: 10% of a certain manufacturers flares are defective. If a random sample of twelve are fired, find the probability that (a) exactly 2 are defective (b) at least 2 are defective (c) at most 2 are defective. What is the mean and variance?

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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38 Q
ले
11:19
2
&
where
G G
A
n!
x(n-x)!
V(X)=E(X-H)
-mp(1-P)
1234
0
6
Expectation and Variance of a Binomial Random Variable
E(X)-Exp(x)
***
np.
What is the mean and variance?
6⁰
(a) exactly 2 are defective
(b) at least 2 are defective
(c) at most 2 are defective.
82
The Binomial Distribution
Example: 10% of a certain manufacturers flares are defective. If a random sample of twelve are fired, find the
probability that
X
Transcribed Image Text:38 Q ले 11:19 2 & where G G A n! x(n-x)! V(X)=E(X-H) -mp(1-P) 1234 0 6 Expectation and Variance of a Binomial Random Variable E(X)-Exp(x) *** np. What is the mean and variance? 6⁰ (a) exactly 2 are defective (b) at least 2 are defective (c) at most 2 are defective. 82 The Binomial Distribution Example: 10% of a certain manufacturers flares are defective. If a random sample of twelve are fired, find the probability that X
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