Question

1)

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.

2) The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.

17, 21, 23, 26, 36, 29, 33, 36

Find the 5-number summary, check for any outliers using fences, and create a boxplot.

can anyone do these two please I really need answers for both please

Answer 1

Answer:

Given Data

As the event of getting any number is equally likely so the probability of getting any number is equal.
Given that a ball is drawn from an urn consisting of balls numbered 4 through 9.

So total number is 4,5,6,7,8,9.

So , total number is 6.

So As each event of getting a number is equally likely. So each can occur with probabiliy 1/6.

So , the probability table is given below:

outcome	x	P(x)
4	-1	0.17
5	1	0.17
6	-1	0.17
7	1	0.17
8	-1	0.17
9	1	0.17

= 0.166666666

= 0.17

b) The expected value of players winning

So , expected value of player's winnings

= 0

c)

The expected money that the player win in a single game is $ 0.

** As per HOMEWORKLIB RULES we should solve only the first question. So I have done it.
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Answer 2

1.

A.

1 -1 X P(X) | Ž 1

B.

In order to find the mean (expectation) of the given distribution, we will use the following formula: u= 2 • p(x) So, first we need to multiply each value of X by each probability P(X), then add these results together. In this example we have 1 u=1 - 1 1 2 M = 0

C.

Expected value refers to the average amount of players' winning in one game, if the game is played for a long term.

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