Discrete Probability Distributions

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.A.1

CCSS.HSS.CP.B.7

CCSS.HSS.MD.A.1

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.HSF-LE.A.1C

Is this a probability distribution?

• No

• Yes

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Is this a probability distribution?

• No
• Yes

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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.1

CCSS.HSS.MD.A.3

A discrete random variable X has the probability distributions shown in the table. Find the value of k.

• 1/3

• 7/12

• 1/12

• 1/4

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

A discrete random variable X has the probability distribution shown in the table. Find P(X < 2).

• 7/8

• 1/2

• 5/8

• 3/8

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

A discrete random variable X has the probability distribution shown in the table. Find P(X > 3).

• 1

• 7/8

• 1/8

• 0

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

A fair dice is thrown four times and the number of times it falls with a 6 on the top, Y, is noted. Write down the sample space of Y.

• 1, 2, 3, 4, 5, 6

• 0,6

• 1, 2, 3, 4

• 0, 1, 2, 3, 4

Tags

CCSS.HSS.CP.A.1

Which one of the following is a discrete random variable?

• Sam's height

• Sam weight

• Time Sam's runs the 110 m hurdles

• Amount of Sam's brothers and sisters

Tags

CCSS.HSS.MD.A.1