Probability Distribution Quiz

What is the value of p in the probabiity distribution shown in the image?

• 0.5

• 0.15

• 0.05

• 0.1

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

What E(x) for probability distribution given in the image?

• 2.4

• .103

• -1.03

• 1.03

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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.CP.B.7

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125
• .15625
• .3125
• .1875

Tags

CCSS.HSS.CP.B.9

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.

• 31.80

• 15.68

• 0.20

• 1.00

Tags

CCSS.HSS.MD.A.2

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

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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.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

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

What is the variance of the probability distribution given in the image? Write your answer with 3 significant digits.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

In finding the p(at least 1), we can calculate it as 1-p(none).

• True

• False

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7