If two random variables X and Y are jointly Gaussian with means 5 & 7 respectively, what can you say about the pdf of Z = 2X + 3Y? 2. 30 electronic devices D₁, D2, ..., D30 are used in the following manner. As soon as D₁ fails, D2 becomes operative. When D2 fails, D3 becomes operative and so on. If the time to failure of D₁ is an exponentially distributed random variable with parameter λ = 0.1/h and Tis the total time of operation of all the 30 devices, find the probability that Texceeds 350 h, using CLT. (3)X13 ASSIGNMENT 3 1. If two random variables X and Y are jointly Gaussian with means 5 & 7 respectively, what can you say about the pdf of Z = 2X + 3Y? 2. 30 electronic devices D₁, D2, ..., D30 are used in the following manner. As soon as D₁ fails, D2 becomes operative. When D2 fails, D3 becomes operative and so on. If the time to failure of D₁ is an exponentially distributed random variable with parameter λ = 0.1/h and Tis the total time of operation of all the 30 devices, find the probability that Texceeds 350 h, using CLT.
