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solve q4 on page lely The lifetime in hours X of an electronic component is a t X random variable with the fcx ) =

solve q4 on page

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lely The lifetime in hours X of an electronic component is a t X random variable with the fcx ) = S go / so denrity function : P. d. s X70 otherwise a) find the probability that this component operates for atleast whe 200 hours without failure. 1) An equipment contains three of there components that operate independently. This equipment fails to work if ente at least 2 of the componts fail. find the probability that this equipment will operate for atleast 200 hours without failure. 3 , Find the Moment generating function of a standard &normal Random Variable and use it to find its expected value Ex). Let X~ Exp(5), Find the exact value of P( 1 x - M/ / 20)7 P ( (x - M / = 20 ) for this random variable and find an upperbound for this probability using Chebysher's inequality

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