1 In a production firm on average an old machines breaks do

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1) In a production firm, on average, an old machines breaks down twice a week (5 days), the time between machine breakdowns could be approximated with an exponential distribution. a. What is the expected time between two machine breakdowns b. Find the probability that the machine wil not break down in the next 3 days. 2) Consider the given joint probability function for random variables X and Y 0 x 1,0 y 1 otherwise a. find the marginal density function of fy(y). b. Determinr the expected value for random variable Y

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