Problem 3) Let X have the binomial PMF P₂(x) = (*) (1) a) Find the standard deviation of the random variable X. b) What is P[ux - Ox ≤ x ≤ µx + ox], the probability that X is within one standard deviation of the expected value. e) Find PX/B(x), where the condition B = {X # 0}.

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 3) Let X have the binomial PMF
P. (x) = (*)()*
a) Find the standard deviation of the random variable X.
b) What is P[ux - Ox ≤ x ≤ μµx + ox], the probability that X is within one standard
deviation of the expected value.
e) Find PX/B(x), where the condition B = {X # 0}.
f) Find E[X|B].
g) Find Var[X|B].
Transcribed Image Text:Problem 3) Let X have the binomial PMF P. (x) = (*)()* a) Find the standard deviation of the random variable X. b) What is P[ux - Ox ≤ x ≤ μµx + ox], the probability that X is within one standard deviation of the expected value. e) Find PX/B(x), where the condition B = {X # 0}. f) Find E[X|B]. g) Find Var[X|B].
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