Solution To Stat1600 Test #2 Form A Math Worksheet With Answers
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5Stat1600
Solution to Midterm #2
Form A
1. (10 points) According to the Centers for Disease Control and Prevention,
33.5%
U.S. adults
have high LDL, or “bad,” cholestrol. Given a random sample of
n=12
U.S. adults, what is
the probability that
exactly 2
adults have high LDL.
ANSWER (show your work):
12!
2
12
2
P
(X=
2) =
(.335)
(1
.335)
2!(12
2)!
12
11
10!
2
10
=
(.335)
(.665)
2
1
10!
12
11
2
10
=
(.335)
(.665)
2
1
2
10
= 66
(.335)
(.665)
= 0.1253
24.7%
2. According to a recent population survey,
of the State of Michigan population 25 years
old and over have completed a bachelor’s degree. Given a random sample of
100
persons in
Michigan 25 years old or over,
(a) (10 points) the number of persons who have completed a bachelor’s degree is expected
to be around
, give or take
or so.
ANSWER (show your work):
µ =
np
=
100
.247
= 24.7; σ =
npq =
24.7
(1
.247) =
18.599 = 4.313.
The number of people who have completed a bachelor’s degree is expected to be
around 24.7, give or take 4.313.
(b) (10 points) what is the probability that out of the sample of
n=100
that
27 or more
have
completed a bachelors degree? (Hint: Use the normal approximation of the binomial.)
ANSWER (show your work):
1
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