Unformatted text preview: ¯ X ? (d) Compute the probability ¯ X lies within .1 of the mean. (e) Compute a 95% con±dence interval for ¯ X . ◦ 2 (4*5=20 points) Let X ∼ unif(-1,1). (a) Compute the pdf of X . (b) Compute the cdf of Y = X 2 . (c) Compute the pdf of Y = X 2 . (d) Compute E[ X 2 ]. ◦ 3 (15 points) A soft-drink vending machine is set so that the amount of drink dispensed is a random variable with a mean of 200 milliliters and a standard deviation of 15 milliliters. What is the prob-ability that the average (mean) amount dispensed in a random sample of size 36 is at least 202 milliliters?...
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This note was uploaded on 10/04/2011 for the course STA 4321 taught by Professor Staff during the Fall '08 term at University of Florida.
- Fall '08