Question

1)

Giving a test to a group of students, the grades and gender are summarized below

	A	B	C	Total
Male	7	6	15	28
Female	19	8	3	30
Total	26	14	18	58

If one student is chosen at random,

Find the probability that the student got a C:  

Find the probability that the student was male AND got a "B":  

Find the probability that the student was male OR got an "A":  

Find the probability that the student was male GIVEN that the student got a 'C':

2)

A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player wins $1 if the number on the ball is odd and loses $1 if the number is even.

Let x be the amount of money a player will win/lose when playing this game, where x is negative when the player loses money.

(a) Construct the probability distribution table for this game. Round your answers to two decimal places.

Outcome	x	Probability P(x)

(b) What is the expected value of player's winnings? Round to the nearest hundreth.



(c) Interpret the meaning of the expected value in the context of this problem.

Answer 1

Question o Gendes (Grades) B A Total Male 7 6 15 20 19 30 3 ♡ Female (Gender) 26 14 18 58 Total 10 9 = 58 29 Answer 3 - 58 29 Answe Pi( the student got a c) Pa (the student was male AND got a *") = male or got an "A") = Pa (student was male) + P (student got - le(student was mole AND got an "A", has Pr (the student an A") 28 7 + 26 58 47 58 58 58 Auswer

Pr (the student was male GEVEN - that the student got a 2"c") Pe the student was male and got a "c") Pe (the student got a "c") 15 58 15 15 18 등 Auswer (150)