3. Consider the following circuit. The probability that each device functions correctly is P₁ = 0.7and P₂ = 0.76. Assume that devices fail independently.P₁P₂a) Determine the probability mass function of X.Determine the mean and variance of Xb)

Answered: 3. Consider the following circuit. The…

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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2.3
Assume the following data displays the joint probability for random variables X and Y: X 10 20 30 20 0.1 0.2 0.05 0.05 0.1 0.2 0.2 0.0 0.1 -1 Y O 1 1. Solve for the correlation of X and Y. 2. Solve for the correlation of X and Y conditional on Y being greater than or equal to zero. 3. Are X and Y independent? Are X and Y conditional on Y being greater than or equal to zero, independent.
2. Consider the following circuit. The probability that each device functions correctly is p1 = 0.7 and p2 = 0.76. Assume that devices fail independently. Determine the probability mass function of X. P1 P2
59% Consider the joint probability function: X12 Y -1 a 0.1 0. b d 1. e 0.3 0.4 If X and Y are independent random variables the yalue of b and d are 2. A) b = 0, d = 0.2 B) b 15 d = 0.2 C) b = 15 d = 0.6 D) b = , d = 0 15 A) b = 0, d = 0.2 C)b ==,d- 0.6 15 Dowaload XFull sen ...
only three parts
In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion out of the three, respectively. Determine: (c) E(X)= i Round your answer to two decimal places (e.g. 98.76).
Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. 1. Determine the probability mass function of the number of defective washers (X) in the sample. 2. Find the probability that at least one unacceptable washer is in the sample. 3. Calculate the mean and variance of X.
Given Probabilities y = 1 y = 2 x = 1 x = 2 0.2 0.3 0.5 Find: а. Pr(X > Y) %3 b. Pr(Y = 1) =
Let A and B be independent exponential random variables, both with mean 1. If U = A + B and V = A/B, find the joint pdf of U and V.
b. The table below shows the joint probability mass function for the discrete random variables X and Y. Y = 1 Y = 2 X = 0 X = 1 X = 2 0.07 0.23 0.18 0.05 0.29 0.18 Calculate and interpret the covariance between variables X and Y i.e. Cov(X,Y).

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3. Consider the following circuit. The probability that each device functions correctly is P = 0.7 and P₂ = 0.76. Assume that devices fail independently. P₁ P₂ a) Determine the probability mass function of X. b) Determine the mean and variance of X