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}.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.)
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Fdd76737b-d361-4e4d-adb2-2ba9248a93cf%2Ftj0gpm7_processed.jpeg&w=3840&q=75)
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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