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Unformatted text preview: for x = 1, 2, 3, 4, 5 = 0 otherwise a) Determine the mean and standard deviation for the days of hospitalization for this illness. b) Determine the value of the cumulative distribution function for X= 3 days. c) Find the expected value of Y = 2X 2 +3X -5 2) Let probability density function of X be given by, f (x) = cx(2-x) for 0 < x < 2, = 0 otherwise a) What is the value of c? b) Compute P(X < 1.5). 3) A box of widgets contains four good ones and one defective. To locate the defective widget, one widget at a time is drawn at random from the box (and not replaced) and then tested. Let X denote the number of tests required to locate the defective widget. a) Determine the probability mass function of X. b) Find the expected value for X....
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- Spring '09
- Probability distribution, Probability theory, probability density function, 3 days, X. Group Problems