Question: Let X denote the amount of time a statistics reference book on a two-hour reserve at the engineering library is checked out by a randomly

Let X denote the amount of time a statistics reference book on a two-hour reserve at the engineering library is checked out by a randomly selected student. Suppose that X has density function

1 0x3 == f(x) = log(4) 1+x 0 otherwise.

For books returned after two hours, students are charged a fine of $2.00 plus $1.00 for each additional 15-minute delay.

(a) Find the probability that a student checking out the book will be charged a fine.

(b) Given that a student has been charged a fine, what is the probability the fine is at least $3.00?

1 0x3 == f(x) = log(4) 1+x 0 otherwise.

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