6.3-6.4 - Prob Dist and Expected Value

Which of the following distributions is/are legitimate probability distributions.

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Tags

CCSS.7.SP.C.7B

P(x>2)=?

• .48

• .13

• .52

• .87

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

A game consists of rolling a colored die with three blue sides, two red sides, and one white side. A roll of blue loses. A roll of red pays $3.00. A roll of white pays $5.00. The charge to play the game is $2.00. Would you play the game? Why or why not?

• E(x)= -$.17

  Students should play the game because the expected value is negative

• E(x)= $.32

  Students should play the game because the expected value is positive

• E(x)= $.32

  Students should not play the game because the expected value is positive

• E(x)= -$.17

  Students should not play the game because the expected value is negative.

Tags

CCSS.HSS.MD.B.5B

A game consists of rolling a colored die with three blue sides, two red sides, and one white side. A roll of blue loses. A roll of red pays $3.00. A roll of white pays $5.00. The charge to play the game is $2.00. What price would make this a fair game?

• The price to make this game fair is $1.83

• The price to make this game fair is $2.17

• The price to make this game fair is $0.17

• The price to make this game fair is $1.17

Tags

CCSS.HSS.MD.B.5A

A $100 bill, two $10 bills, three $5 bills and four $1 bills are placed in a bag. If a bill is chosen at random, what is the expected value for the amount chosen?

Expected Value = $ _______ (To the nearest penny)

Tags

CCSS.HSS.MD.B.5A

The table above is a p.d. for the number of siblings students in a certain class have.  What value of P(x=4) makes this a valid p.d.?

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

What is the expected value for the number of siblings for this class?

• 2.11

• 1

• 1.5

• 1.79

Tags

CCSS.HSS.MD.A.2

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.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?

• 0.20
• 0.29
• 0.39
• 0.61

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.
What expected value does this broker assign to this stock's end-of-the-year price?

• $58.50
• $60.00
• $62.50
• $65.00

Tags

CCSS.HSS.MD.A.2