CCSS.Math.Content.HSS.MD.A.3

In a particular game, a fair die is tossed.  If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing.  Let X be the amount that you win. 
Which of the following is the expected value of X?

• $1.00
• $2.50
• $4.00
• $6.00

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

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

• yes
• no

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwise.  What is the expected amount you win?

• $0.00
• -$1.00
• $1.00
• $3.00

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

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.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

A likely chance event is closer to what number?

• 0
• 1
• .5
• 100

Tags

CCSS.Math.Content.HSS.MD.A.3

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.

• 2.00
• 2.13
• 1.97
• 1.27

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

Find the expected value

• Loss of $0.875
• Loss of $2.125
• Win of $1.875
• Win of $3.125

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3

The time it takes for a light bulb to burn out.

• Continuous
• Discrete

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CCSS.Math.Content.HSS.MD.A.3

Decide whether the distribution is a probability distribution.

• Yes, it is a discrete probability distribution.
• No, it is not a discrete probability distribution.

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CCSS.Math.Content.HSS.MD.A.3

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean and the standard deviation.

• μ = .4; σ = 7.5

• μ = 2.5; σ = 1.1

• μ = 3; σ = 1.3

• μ = .1; σ = 0

Tags

CCSS.Math.Content.HSS.MD.A.2

CCSS.Math.Content.HSS.MD.A.3