Probability Distributions

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

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

CCSS.HSS.MD.A.4

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

• 0.03125

• 0.15625

• 0.3125

• 0.1875

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

Find the missing value for P(X=5) in the probability ditribution:

Number of Toys | Probability

0| 0.03

1| 0.16

2| 0.30

3| 0.23

4| 0.17

5| ?

• 0.11

• 0.21

• 0.01

• 0.31

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability of getting all 5 questions correct.

• 0.03125

• 0.15625

• 0.3125

• 0.1875

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

What is P( X > 2).

• 0.02

• 0.2

• 0.01

• 0.1

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.MD.A.3

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

What is the probability of trapping at least three mice?

• 0.14

• 0.37

• 0.23

• 0.16

Tags

CCSS.HSS.CP.B.7

CCSS.HSS.MD.A.3

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

What is the probability of trapping at most two mice?

• 0.14

• 0.37

• 0.23

• 0.63

The number of defective computers produced by a manufacturer

• Discrete Random Variable
• Continuous Random Variable

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

Distance of towns in the Province from the Capital City

• Discrete Random Variable
• Continuous Random Variable

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4