5.2 Analyzing Discrete Random Variables

Choose an American household at random. What is the expected number of cars for that household?

• 1.75
• 1.84
• 2.00
• 2.50

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

A car dealer buys hybrids for $21,000 each and sells them for $24,500 each. Find his expected weekly profit.

• $2,380
• $5,355
• $8,109
• $37,485

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

Find P(X < 5)

• 0.2

• 0.3

• 0.5

• 0.7

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CCSS.HSS.MD.A.1

Find P(X ≤ 5)

• 0.2

• 0.3

• 0.5

• 0.7

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CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

• 31.8

• 15.68

• 0.20

• 1.00

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

What is the shape of the distribution?

• Skewed Left 
• Skewed Right
• Symmetric
• Bimodal

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.3

What is the shape of the distribution?

• Skewed Left 
• Skewed Right
• Symmetric
• Bimodal

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.3

Describe the shape of the distribution.

• symmetric

• skewed left

• skewed right

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3