Take Home Test 2 Sta 2023 Worksheet Page 7
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8Find the indicated probability.
Express your answer as a simplified
fraction unless otherwise noted.
39) The table below describes the smoking habits of a group of asthma sufferers.
Light
Heavy
Nonsmoker
smoker smoker Total
Men
Women
Total
381
346
727
88
77
546
78
89
513
166
166
1059
If one of the 1059 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given
that it is a
woman.
Round to the nearest
thousandth.
A) 0.384
B) 0.327
C) 0.476
D) 0.674
40) The table below describes the smoking habits of a group of asthma sufferers.
Light
Heavy
Nonsmoker
smoker smoker Total
Men
Women
Total
339
343
682
63
72
474
75
66
484
138
138
958
If
one of the 958 subjects is randomly selected, find the probability that the person chosen is a woman given that
the person is a light smoker. Round to the nearest thousandth.
A) 0.155
B) 0.543
C) 0.078
D) 0.244
Perform the
indicated
calculation.
B)5
C)1
D) 120
42)
8 C 3
A) 3
B)
112
C)
56
D) 120
B) 0.16
C)
0.0079
D) 0.040
Provide an
appropriate
response.
44) The access code to a house's security system consists of eight digits. How many different codes are available if
each digit can be repeated?
A) 100,000,000
B) 16,777,216
C) 8
D) 256
45) A delivery route must include stops at four
cities.
How many different routes are possible?
A) 16
B) 4
C) 256
D) 24
46) A certain code is a sequence of 6
digits.
What is the probability of generating 6 digits and getting the code
consisting of
1,2,3, ...
,6 if each digit can be repeated?
47) In the California State lottery, you must select six numbers from fifty-two numbers to win the big prize. The
numbers do not have to be in a particular order. What is the probability that you will win the big prize if you
buy one ticket?
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