AP Stats 5.3 FF

The Pew Research center randomly selected 100 mothers age 40 to 44 in 1976, 1994, and 2014 and asked each mother how many children they have. The two way table summarizes the responses.

Suppose we randomly select one of the survey respondents. Define events C: have 4 or more children, S: 1976, and F: 2014.

Find P(C|S)

• .8

• .22

• .4

• .333

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

The Pew Research center randomly selected 100 mothers age 40 to 44 in 1976, 1994, and 2014 and asked each mother how many children they have. The two way table summarizes the responses.

Suppose we randomly select one of the survey respondents. Define events C: have 4 or more children, S: 1976, and F: 2014.

Given that the chosen mother was not surveyed in 1976, what's the probability that she has 4 or more children?

• .22

• .13

• .26

• .4

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.IC.A.1

The Pew Research center randomly selected 100 mothers age 40 to 44 in 1976, 1994, and 2014 and asked each mother how many children they have. The two way table summarizes the responses.

Suppose we randomly select one of the survey respondents. Define events C: have 4 or more children, S: 1976, and F: 2014.

Are the events "Surveyed in 1976" and "4 or more children" independent?

• Yes

• No

• It cannot be determined

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

In the 2016 election, 30 states went to the republican candidate and 20 states went to the Democratic candidate. Of the 30 states that went Republican, 29 were in the continental United States. Of the 20 states that went Democratic, 19 are in the continental United States. One State is selected at random.

Find the probability that a randomly selected state is in the continental U.S. and went republican. (Hint: draw a tree diagram on your desk - do not erase it)

• .29

• .58

• .30

• .02

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.4

In the 2016 election, 30 states went to the republican candidate and 20 states went to the Democratic candidate. Of the 30 states that went Republican, 29 were in the continental United States. Of the 20 states that went Democratic, 19 are in the continental United States. One State is selected at random.

If we select 4 states at random (with replacement) what is the probability that at least 1 of the states is in the continental U.S. and went Republican?

• 0.9689

• 0.42

• 0.958

• .0311

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

In the 2016 election, 30 states went to the republican candidate and 20 states went to the Democratic candidate. Of the 30 states that went Republican, 29 were in the continental United States. Of the 20 states that went Democratic, 19 are in the continental United States. One State is selected at random.

Given that a randomly selected state is not in the continental U.S., what is the probability that it went Republican?

• 0.50

• .02

• 1

• 0.20

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3