AMDM Expected Value Review

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

• 14
• 4.67
• 5
• 7.5

Tags

CCSS.HSS.MD.A.2

If the expected value is negative, are you expected to win?

• yes
• no

Tags

CCSS.HSS.MD.A.2

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

• $12.50
• $5
• $7.50
• $10

Tags

CCSS.HSS.MD.A.2

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

Tags

CCSS.HSS.MD.B.5A

A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?

• lose an average of $5.50

• lose an average of $1.50

• win an average of $2.00

• lose an average of $10.00

Tags

CCSS.HSS.MD.B.5A

A fair, 6-sided dice is thrown 120 times.

Roughly how many times would you expect the number 5 to come up?

• 6

• 10

• 12

• 20

Tags

CCSS.7.SP.C.6

A fair, 6-sided dice is thrown 18 times.

Roughly how many times would you expect the number 6 to come up?

• 1

• 3

• 6

Tags

CCSS.7.SP.C.6

Sam’s pencil case contains 3 red, 2 blue and 5 black pens.

He takes a pen out without looking then puts it back 100 times.

Roughly how many times would you expect him to pick up a red pen?

• 10

• 20

• 30

• 50

Tags

CCSS.7.SP.C.6

A spinner has 5 sections with the following numbers on it:

3 4 4 5 6

Each section is equally likely.

It is spun 75 times.

Roughly how many times would you expect him the spinner to land on 4?

• 5

• 15

• 25

• 30

Tags

CCSS.7.SP.C.6

What is the probability of spinning an even number?

• 16 2/3%

• 33 1/3%

• 50%

• 75%

Tags

CCSS.7.SP.C.7A