Ap Statistics Solutions To Packet 6 - Probability The Study Of Randomness Worksheet With Answers Page 11
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216.37 NEW CENSUS CATEGORIES The 2000 census allowed each person to choose one or more
from a long list of races. That is, in the eyes of the Census Bureau, you belong to whatever race or
races you say you belong to. “Hispanic/Latino” is a separate category. Hispanics may be of any race.
If we choose a resident of the United States at random, the 2000 census gives these probabilities:
Hispanic
Not Hispanic
Asian
0.000
0.036
Black
0.003
0.121
White
0.060
0.691
Other
0.062
0.027
Let A be the event that a randomly chosen American is Hispanic, and let B be the event that the person
chosen is white.
(a) Verify that the table gives a legitimate assignment of probabilities.
The sum of all 8 probabilities equals 1 and all probabilities satisfy 0 ≤ p ≤ 1.
(b) What is P(A)?
P(A) = 0.000 + 0.003 + 0.060 + 0.062 = 0.125.
C
C
(c) Describe B
in words and find P(B
) by the complement rule.
The chosen person is not white.
=
c
P B
(
)
1 - ( ) = 1 - (0.060 + 0.691) = 1 - 0.751 = 0.249.
P B
(d) Express “the person chosen is a non-Hispanic white” in terms of events A and B. What is the
∩
=
c
probability of this event?
P A
(
B
)
0.691.
11
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