AnswersAlgebra IIExpected Value

Expected Value — Quiz Answers

10 verified answers
1
Free Preview

A business has an opportunity to invest 35 dollars comma 000 If the investment is a success, the business earns a profit of 150 dollars comma 000 Otherwise, the investment will result in a total loss of all monies. If the investment has 0 point 2 7 chance of success, which equation correctly models the expected value of this investment?

A
0 point 2 7 times open paren 150 comma 000 minus 35 comma 000 close paren is equal to cap e times cap x
B
0 point 2 7 times open paren 115 comma 000 close paren plus 0 point 7 3 times open paren negative 35 comma 000 close paren is equal to cap e times cap x
C
0 point 2 7 times open paren 150 comma 000 close paren plus 0 point 7 3 times open paren negative 35 comma 000 close paren is equal to cap e times cap x
D
150 comma 000 minus 0 point 7 3 times open paren 35 comma 000 close paren is equal to cap e times cap x
2
Free Preview

Johnny is challenged to a single-player game with an expected value of 1 Which statement is true?

A
It is a favorable game.
B
It is a fair game.
C
It is an unfavorable game.
D
Johnny cannot determine whether the game is fair without knowing the rules.
3

A charity is holding a raffle to raise money. There is one car worth 30 dollars comma 000 and five 100 dollars gift cards being raffled off. Each ticket costs 20 dollars , and there are a total of 5 comma 000 tickets being sold. Which equation correctly depicts the calculation of the expected value for a ticket?

A
30 comma 000 times open paren 1 over 5000 close paren plus 100 times open paren 1 over 1000 close paren is equal to cap e times cap x
B
29 comma 980 times open paren 1 over 5000 close paren plus 80 times open paren 1 over 1000 close paren is equal to cap e times cap x
C
29 comma 980 times open paren 1 over 5000 close paren plus 80 times open paren 1 over 1000 close paren plus negative 20 times open paren 2497 over 2500 close paren is equal to cap e times cap x
D
30 comma 000 times open paren 1 over 5000 close paren plus 100 times open paren 1 over 1000 close paren plus negative 20 times open paren 2497 over 2500 close paren is equal to cap e times cap x
7

If a raffle has a winning prize of 100 dollars and each ticket costs 5 dollars with a total of 500 tickets sold, which equation would calculate the expected value?

A
100 times open paren 1 over 500 close paren plus negative 5 times open paren 499 over 500 close paren is equal to cap e times cap x
B
open paren 100 minus 5 close paren times open paren 1 over 500 close paren is equal to cap e times cap x
C
95 times open paren 1 over 500 close paren plus negative 5 times open paren 499 over 500 close paren is equal to cap e times cap x
D
100 times open paren 1 over 500 close paren is equal to cap e times cap x
8

Which statement correctly depicts the expected value of a fair game?

A
cap e times cap x is equal to 0
B
cap e times cap x is greater than 1
C
cap e times cap x is equal to 1
D
cap e times cap x is greater than 0

Did you find these answers helpful?

Expected Value — Quiz Answers — Algebra II