Let X Denote the Amount of Time for Which a Book

question 3

Essay

Let X denote the amount of time for which a book on 2-hour reserve at a college-library is checked out by a randomly selected student and suppose that X $f ( x ) = \left\{ \begin{array} { l l } .5 x & 0 \leq x \leq 2 \\0 & \text { otherwise }\end{array} \right.$ Calculate the following probabilities:
a. $$P (\bar{ X} \leq 1 )$$
b. $P ( .5 \leq \bar{X} \leq 1.5 )$

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Definitions:

Contractor

A person or corporation that agrees to a contract to supply materials or workforce to execute a service or complete a task.

Lien

A legal right or claim against a property by a creditor to ensure the payment of a debt.

County Clerk

An official in local government who manages public records and documents, particularly in relation to property and civil records.

Judicial Lien

A lien obtained by a creditor upon a debtor's property, authorized by a judgment, decree, or court order.