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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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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 Ai(i = 1,2,3)and Bj (j = 1,2)are defined as follows: A1 = Full professor,A2 = Associate professor,A3 = Assistant professor,B1 = Male instructor,and B2 = Female instructor.
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<sub>i</sub>(i = 1,2,3)and B<sub>j</sub> (j = 1,2)are defined as follows: A<sub>1</sub> = Full professor,A<sub>2</sub> = Associate professor,A<sub>3</sub> = Assistant professor,B<sub>1</sub> = Male instructor,and B<sub>2</sub> = Female instructor.    -Calculate P(A<sub>3</sub> ∣ B<sub>1</sub>).
-Calculate P(A3 ∣ B1).


Definitions:

Vowel Sounds

The sounds produced without any significant constriction or blockage of air flow in the vocal tract, fundamental to speech.

Fast Mapping

A cognitive process by which children are able to learn new words or concepts with minimal exposure, rapidly associating them with their meanings.

Word Integration

The ability to combine words into meaningful sentences or ideas, a crucial aspect of linguistic and cognitive development.

Holophrasing

The use of a single word by a child to express a complex idea, common in the early stages of language acquisition.

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