6. If a letter is chosen at random from the English alphabet, find the proba- bility that the letter exclusivas of y (a) is a vowel exclusivesof y; (b) is listed somewhere ahead of the letter j; (c) is listed somewhere after the letter g. 7. A random sample of 200 adults are classified below by sex and their level of education attained. Education Male Female Elementary 38 45 Secondary College 28 50 22 17 If a person is picked at random from this group, find the probability that (a) the person is a male, given that the person has a secondary education; (b) the person does not have a college degree, given that the person is a female. 8. In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, then what is the probability that an adult over 40 years of age is diagnosed as having cancer? 9. A regional telephone company operates three identical relay stations at different locations. During a one-year period, the number of malfunctions reported by each station and the causes are shown below. Station Computer malfunction Problems with electricity supplied 2 Malfunctioning electrical equipment 5 A B C 1 1 3 Caused by other human errors 7 7 5 Suppose that a malfunction was reported and it was found to be caused by other human errors. What is the probability that it came from station C?
6. If a letter is chosen at random from the English alphabet, find the proba- bility that the letter exclusivas of y (a) is a vowel exclusivesof y; (b) is listed somewhere ahead of the letter j; (c) is listed somewhere after the letter g. 7. A random sample of 200 adults are classified below by sex and their level of education attained. Education Male Female Elementary 38 45 Secondary College 28 50 22 17 If a person is picked at random from this group, find the probability that (a) the person is a male, given that the person has a secondary education; (b) the person does not have a college degree, given that the person is a female. 8. In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, then what is the probability that an adult over 40 years of age is diagnosed as having cancer? 9. A regional telephone company operates three identical relay stations at different locations. During a one-year period, the number of malfunctions reported by each station and the causes are shown below. Station Computer malfunction Problems with electricity supplied 2 Malfunctioning electrical equipment 5 A B C 1 1 3 Caused by other human errors 7 7 5 Suppose that a malfunction was reported and it was found to be caused by other human errors. What is the probability that it came from station C?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
Related questions
Question
Transcribed Image Text:6. If a letter is chosen at random from the English alphabet, find the proba-
bility that the letter
exclusivas of y
(a) is a vowel exclusivesof y;
(b) is listed somewhere ahead of the letter j;
(c) is listed somewhere after the letter g.
7. A random sample of 200 adults are classified below by sex and their level
of education attained.
Education Male Female
Elementary 38
45
Secondary
College
28
50
22
17
If a person is picked at random from this group, find the probability that
(a) the person is a male, given that the person has a secondary education;
(b) the person does not have a college degree, given that the person is a
female.
8. In a certain region of the country it is known from past experience that
the probability of selecting an adult over 40 years of age with cancer is
0.05. If the probability of a doctor correctly diagnosing a person with
cancer as having the disease is 0.78 and the probability of incorrectly
diagnosing a person without cancer as having the disease is 0.06, then
what is the probability that an adult over 40 years of age is diagnosed as
having cancer?
9. A regional telephone company operates three identical relay stations at
different locations. During a one-year period, the number of malfunctions
reported by each station and the causes are shown below.
Station
Computer malfunction
Problems with electricity supplied 2
Malfunctioning electrical equipment 5
A B C
1
1
3
Caused by other human errors
7
7
5
Suppose that a malfunction was reported and it was found to be caused
by other human errors. What is the probability that it came from station
C?
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