Question: The continuous random variable has a probability density function (pdf) given by f(x) = 1 - 20 1x for 0 x 2 otherwise Part(a)

The continuous random variable has a probability density function (pdf) given by f(x) = 1 - 20 1x for 0 x 2 otherwise Part(a) Find the median of , correct to 2 decimal places. 0.59 Part(b) Find E(), correct to 2 decimal places. 0.75 Part(c) Find the value of c correct to one decimal place given that E(X + c) = 4E(X c). 0.4 - Part(d) Find the value of a such that P(X < q) = 1. Give your answer as a decimal correct to 3 decimal places. 0.268 Part(e) Find E(X), correct to 2 decimal places. 0.67 Part(f) Two independent observations of are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than . 0.246

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