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Problem 5) Let Xhave the binomial PMF P₂(x)=(X)* a) Find the standard deviation of the random variable X. b) What is Pux - Ox≤ X≤ Mx + ox], the probability that X is within one standard deviation of the expected value. Find Px/(x), where the condition B = {X# 0}.

Problem 5) Let Xhave the binomial PMF P₂(x)=(X)* a) Find the standard deviation of the random variable X. b) What is Pux - Ox≤ X≤ Mx + ox], the probability that X is within one standard deviation of the expected value. Find Px/(x), where the condition B = {X# 0}.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Problem 5) Let Xhave the binomial PMF P₁(x)= 00* Find the standard deviation of the random variable X. b) What is Pux - Ox≤ X≤ Mx + ox], the probability that X is within one standard deviation of the expected value. e) Find Px/(x), where the condition B = {X# 0}. f) Find EX B. g) Find Var[XB]. stop. Problem 6) Select integrated circuits, test them in sequence until you find the first failure, and then Let N be the number of tests. All tests are independent with a probability of failure p = 0.1. Consider the condition B = {N≥ 20}. a Find the PMF PN(n). b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests without a failure. c) What is EN B], the expected number of tests given that there have been 20 consecutive tests without MacBook Pro
Transcribed Image Text:Problem 5) Let Xhave the binomial PMF P₁(x)= 00* Find the standard deviation of the random variable X. b) What is Pux - Ox≤ X≤ Mx + ox], the probability that X is within one standard deviation of the expected value. e) Find Px/(x), where the condition B = {X# 0}. f) Find EX B. g) Find Var[XB]. stop. Problem 6) Select integrated circuits, test them in sequence until you find the first failure, and then Let N be the number of tests. All tests are independent with a probability of failure p = 0.1. Consider the condition B = {N≥ 20}. a Find the PMF PN(n). b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests without a failure. c) What is EN B], the expected number of tests given that there have been 20 consecutive tests without MacBook Pro
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