Unit 4 Random Variables and Distributions Review

Emma is playing a spinning game using the spinner shown. She gets one spin and needs green to win. What's probability that she will NOT win?

• .25
• .75
• .70
• 40

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CCSS.HSS.CP.A.1

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

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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

How many students have more than 1,000 songs on their MP3 player?

• 5
• 16
• 10
• 4

What percent of students have less than 1,000 songs on their MP3 players?

• 15%
• 80%
• 20%
• 45%

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

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

CCSS.HSS.MD.A.4

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

• Yes
• No, the trials are not independent.
• No, there are more than 2 outcomes

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

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CCSS.HSS.CP.B.9