Question

In: Statistics and Probability

Let X denote the amount of time a book on 2-hour reserve in the Killam Library...

Let X denote the amount of time a book on 2-hour reserve in the Killam Library is checked out by a randomly selected Dalhousie student. Suppose X has the density function f(x) = 0.5 x for (0 ≤ X ≤ 2) otherwise f(x) = 0. Compute the following probabilities,

a.) P(X ≤ 1.3) (Give decimal answer to two places past decimal.) Tries 0/2

b.) P(0.8 ≤ X ≤ 1.3) (Give decimal answer to two places past decimal.) Tries 0/2

c.) P(X > 1.3) (Give decimal answer to two places past decimal.) Tries 0/2

d) Find the median time the book is checked out. (Give decimal answer to two places past the decimal.) Tries 0/2

e) Find the mean time the book is checked out. (Give decimal answer to two places past the decimal.) Tries 0/2

Solutions

Expert Solution

Let , the pdf of X is given by ,

f(x) = 0.5 x ; 0 ≤ X ≤ 2

= 0 ; otherwise

b )

orchestra answered 1 year ago

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