Showing 81 to 90 of 102 Questions

Suppose that X and Y are independent random variables with probability densities and Find the expected value of Z =XY
1138 
Suppose that X and Y have the following joint probability function: (a) Find the expected value of g(X, Y) = XY2. (b) Find μx and μy.
0125 
Suppose that you roll a fair 10sided die (0, 1, 2, . . . , 9) 500 times. Using Chebyshev's theorem, compute the probability that the sample mean, X, is between 4 and 5.
1297 
The density function of coded measurements of pitch diameter of threads of a fitting is Find the expected value ofX.
0221 
The density function of the continuous random variable X, the total number of hours, in units of 100 hours that a family runs a vacuum cleaner over a period of one year, is given in Exercise 3.7. LetX1 = {1, of the 1st light bulb is defective, 0, otherwise,X2 = {1, if the 2nd light bulb is defective, o, otherwise, Find the probability tha
1217 
The hospital period, in days, for patients following treatment for a certain typo of kidney disorder is a random variable Y = X + 4, where X has the density function Find the average number of days that a person is hospitalized following treatment for thisdisorder.
1166 
The length of time Y in minutes required to generate a human reflex to tear gas has density function(a) What is the mean time to reflex?(b) Find E(Y2) andVar(Y).
1392 
The length of time, in minutes, for an airplane to obtain clearance for take off at a certain airport is a random variable Y = 3X — 2, where X has the density function Find the mean and variance of the random variableY.
1343 
The power P in watts which is dissipated in an electric circuit with resistance R is known to be given by P = I2 R, where I is current in amperes and R is a fixed constant at 50 ohms. However, I is a random variable with μ1 = 15 amperes and σ21 = 0.03 amperes 2. Give numerical approximations to the mean and variance of the power
0113 
The probability distribution of the discrete random variable X is find the mean ofX.
0113
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