THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 32

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A table of joint probabilities is shown below,regarding the instructors at the University of Michigan,where the events A_i(i = 1,2,3)and B_j (j = 1,2)are defined as follows: A₁ = Full professor,A₂ = Associate professor,A₃ = Assistant professor,B₁ = Male instructor,and B₂ = Female instructor.

-Calculate P(A₁ ∣ A₂).

---

Definitions:

Error Term

A variable in statistical models that represents the difference between the observed and predicted values, accounting for randomness or unexplained variation.

Independent

Describes variables in an experiment or study that are manipulated or categorized separately from any other variables.

Normally Distributed

Describes a statistical distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Mathematical Equation

A statement of equality between two expressions which holds true under certain conditions.