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
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman