Let a Denote the Event That the Next Item Checked $A ^ { t }$

question 5

Essay

Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) = .40 and P(B) = .50.
a. Why is it not the case that P(A) + P(B) = 1?
b. Calculate P( $A ^ { t }$
)
c. Calculate P(A $\bigcup$
B).
d. Calculate P( $A ^ { t }$ $\cap$ $B ^ {t }$
).

---

Definitions:

Penalties

Financial or other forms of punishment applied for violation of rules, laws, or contracts.

Critical Path

The series of tasks in a project schedule that must be finished as planned for the project to conclude by its intended deadline.

Variance

A measure of the dispersion or spread in a set of data points, indicating how much the numbers in the dataset differ from the mean.