MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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|A 8 A sequence of independent Bernoulli trials with probability of success p is performed. Let the random variable Xbe the number of failures before the first success. R.D.R EGALA STAT 203 March 4, 2021 a) Find the probability mass function of X, confirming that the sum over all possible values of X is one. b) Obtain E(X) c) The probability of an enemy aircraft penetrating friendly airspace is 0.01. i) What is the probability that the first penetration of friendly airspace is accomplished by the 80th aircraft to attempt the penetration, assuming penetration attempts are independent? i) What is the probability that it will take more than 80 attempts to penetrate friendly airspace? i) Consider Y, the total number of failures before the second success. Find the probability mass function of Y. By considering the mean of X, show that E (Y) = 2|
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Transcribed Image Text:|A 8 A sequence of independent Bernoulli trials with probability of success p is performed. Let the random variable Xbe the number of failures before the first success. R.D.R EGALA STAT 203 March 4, 2021 a) Find the probability mass function of X, confirming that the sum over all possible values of X is one. b) Obtain E(X) c) The probability of an enemy aircraft penetrating friendly airspace is 0.01. i) What is the probability that the first penetration of friendly airspace is accomplished by the 80th aircraft to attempt the penetration, assuming penetration attempts are independent? i) What is the probability that it will take more than 80 attempts to penetrate friendly airspace? i) Consider Y, the total number of failures before the second success. Find the probability mass function of Y. By considering the mean of X, show that E (Y) = 2|
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