3 11/2 2. IY is unlform on (-1,2J, d f(t). Use it directly to calesalate the sor

Question

3 11/2 2. IY is unlform on (-1,2J, d f(t). Use it directly to calesalate the sor 3. Calculate the moment generat 4·The length of tirne la minutes, y, that a cuitotier "pends in linn nt s and varianoe culate the meas bank teller's window before being served is described by the exponentinl (a) What is the probablity that tbe customer will wait more then 10 (b) Suppose the customer will leave if the wait is more than 10 minutes ing fanction for Y above Ue this to cal and variance ofy Assume that the customer go. to the bank twice nett month. the random variable X be the number of times the without being served. Calculate px (1). 5 A manufacturer has one hundred memory chips in stock, 4% of which are likely to be defective. A random sample of twenty chips is selected and shipped to a factory that assembles laptops. Let X denote the number of computers that receive faulty memory chips. Find E(X) 6. A box is to be constructed so that its height is five inches and its base fy (v) = 6y(1-1). 0

Explanation / Answer

SOlving Question 1

P(3<=X+Y<=4) can be summarized as P(x,y )

P(x,y) = P(1,2)+P(2,1)+P(0,3)+P(1,3)+P(2,2) = 1/4*1/4+1/4*1/4+1/2*1/2+1/4*1/2+1/4*1/4 = 9/16=0.5625

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