32. If you buy a lottery ticket in 50 lotteries, in each of which your chance of...
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32. If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is 1 100 , what is the (approximate) probability that you will win a prize (a)
at least once,
(b) exactly once,
(c) at least twice?
33. Let X be a random variable with probability density f (x) =
c(1 − x2), −1 < x < 1 0, otherwise
(a) What is the value of c?
(b) What is the cumulative distribution function of X?
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