5.30 As reported in the chapter opener "USA and Its Automobiles," Americans are in love with the automobile -the majority have more than one vebi- cle per household. In fact, the national average is 2.28 vehicles per household. The number of vehicles per household in the United States can be described as follows: P(x) 0.34 E2 0.31 0.22 0.06 0.03 0.02 0.01 0.01 Vehicles, x 6 8 or more a. Replacing the category "8 or more" with exactly "8," find the mean and standard deviation of the number of vehicles per household in the United States. b. How does the mean calculated in part a correspond to the national average of 2.28? (continue on page 242) 23450O7

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5.30 As reported in the chapter opener "USA and
Its Automobiles," Americans are in love with the
automobile -the majority have more than one vebi-
cle per household. In fact, the national average is
2.28 vehicles per household. The number of vehicles
per household in the United States can be described as
follows:
Vehicles, x
P(x)
0.34
0.31
0.22
0.06
0.03
0.02
0.01
0.01
8 or more
a. Replacing the category "8 or more" with exactly
"8," find the mean and standard deviation of the
number of vehicles per household in the United
States.
b. How does the mean calculated in part a correspond
to the national average of 2.28?
(continue on page 242)
N345 O7
Transcribed Image Text:5.30 As reported in the chapter opener "USA and Its Automobiles," Americans are in love with the automobile -the majority have more than one vebi- cle per household. In fact, the national average is 2.28 vehicles per household. The number of vehicles per household in the United States can be described as follows: Vehicles, x P(x) 0.34 0.31 0.22 0.06 0.03 0.02 0.01 0.01 8 or more a. Replacing the category "8 or more" with exactly "8," find the mean and standard deviation of the number of vehicles per household in the United States. b. How does the mean calculated in part a correspond to the national average of 2.28? (continue on page 242) N345 O7
5.22 a. Form the probability distribution table for
P(x) = , for x =
1,, 2, 3.
%3D
b. Find the extensions xP(x) and x²P(x) for each x.
Find E[xP(x)] and E[x*P(x)].
d. Find the mean for P(x) = , for x = 1, 2, 3. 2
e. Find the variance for P(x) =, for x = 1, 2, 3.
6'
f.
Find the standard deviation for P(x) = *, for o
62
aluvilidsdon
х%3D 1, 2, 3.
Transcribed Image Text:5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
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