Multiple choice set 2
INFO: practice multiple choice questions related to chapters 3, 4, 5 and assignment 3.
Q
1.
A factory employs several thousand workers, of whom 30% are from nonEnglish speaking background. If 15
members of the union executive committee were chosen from the workers at random, evaluate the probability
that exactly 3 members of the committee are nonEnglish background people.
(a)
0.17
(b)
0.83
(c)
0.98
(d)
0.51
(e)
none of the preceding
Solution to Q1:
Y
 number with nonEnglish background.
Y
∼
B
(15
,
0
.
3), to compute
P
(
Y
= 3) = 0
.
17
Q
2.
On average, one person in a hundred will carry a certain mutant gene.
60 people are tested.
What is the
probability that 5 or more of these people will be found to carry the gene? (choose the closest answer)
The MINITAB output will help you to solve this problem:
Binomial with n = 60 and p = 0.01
x
P( X = x )
0
0.547157
1
0.331610
2
0.098813
3
0.019297
4
0.002778
Solution to Q2:
success= a person carries the gene, thus
P
(success) =
p
= 0
.
01. If
X
 number of person which carry the
gene;
X
∼ B
(60
,
0
.
01). To compute:
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 Fall '08
 Statistics, Normal Distribution, Standard Deviation, Probability theory, executive committee, Q7

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