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4.30 The proportion of time Y that an industrial robot is in operation during a random variable with probability density function 2y, 0, f(y) = = 0≤ y ≤ 1, elsewhere. MU 90 a Find E(Y) and V (Y). b For the robot under study, the profit X for a week is given by X = 200Y and V(X). c Find an interval in which the profit should lie for at least 75% of the w

4.30 The proportion of time Y that an industrial robot is in operation during a random variable with probability density function 2y, 0, f(y) = = 0≤ y ≤ 1, elsewhere. MU 90 a Find E(Y) and V (Y). b For the robot under study, the profit X for a week is given by X = 200Y and V(X). c Find an interval in which the profit should lie for at least 75% of the w

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Pls help me solve 4.30
4.29 4.30 anoitudidad pildsdor The temperature Y at which a thermostatically controlled switch turns on has probability density function given by a b Exercises 173 f(y) = {1/2, 59 ≤ y ≤ 61, elsewhere. Find E(Y) and V (Y). The proportion of time Y that an industrial robot is in operation during a 40-hour week is a random variable with probability density function f(y) = {2y, 0≤ y ≤ 1, 0, elsewhere. ONU 90 Find E(Y) and V (Y). For the robot under study, the profit X for a week is given by X = 200Y and V(X). - 60. Find E(X) c Find an interval in which the profit should lie for at least 75% of the weeks that the robot is in use. 4.31 Daily total solar radiation for a specified location in Florida in October has probability density function given by f(y) = {(3/32)(y-2) (6-y), 2 ≤ y ≤6, elsewhere, with measurements in hundreds of calories. Find the expected daily solar radiation for October. density function (measured in
Transcribed Image Text:4.29 4.30 anoitudidad pildsdor The temperature Y at which a thermostatically controlled switch turns on has probability density function given by a b Exercises 173 f(y) = {1/2, 59 ≤ y ≤ 61, elsewhere. Find E(Y) and V (Y). The proportion of time Y that an industrial robot is in operation during a 40-hour week is a random variable with probability density function f(y) = {2y, 0≤ y ≤ 1, 0, elsewhere. ONU 90 Find E(Y) and V (Y). For the robot under study, the profit X for a week is given by X = 200Y and V(X). - 60. Find E(X) c Find an interval in which the profit should lie for at least 75% of the weeks that the robot is in use. 4.31 Daily total solar radiation for a specified location in Florida in October has probability density function given by f(y) = {(3/32)(y-2) (6-y), 2 ≤ y ≤6, elsewhere, with measurements in hundreds of calories. Find the expected daily solar radiation for October. density function (measured in
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