Review Homework: Week 3 Homework 40 pts
The access code for a car's security system consists of six digits. The first digit cannot be 9 and the last
digit must be odd.
Q. How many different codes are available?
A. 450000
-how many events occur? 6 (6 digits)
-how many choices are there for the first digit? 9 (0,1,2,3,4,5,6,7,8)
-how many choices are there for the 2nd, 3rd, 4th and 5th? 10 (0-9)
-how many choices are there for the last digit? 5 (1,3,5,7,9)
9*10*10*10*10*5 (multiple the number of choices for each digit)
A probability experiment consists of rolling a 6-sided die. Find the probability of the event below.
rolling a number less than 5
Q. What is the probability?
A. 0.667
number of outcomes in event E/Total number of outcomes in sample space
6 outcomes in the sample space/4 outcomes for rolling less than 5
Q. If two events are independent, P(A|B) =P(B)
A. False; if events A and B are independent, then P (A and B) = P(A) * P (B)
Non-nursing majors Total
Nursing Majors
Males 93 1061 1154
Females 723 1629 2352
Total 816 2690 3506
Q.
Find the probability that a randomly selected student is male, given that the student is a nursing
major.
A. .114 (93/816)
Q. Find the probability that a randomly selected student is a nursing major, given that the student
is male.
A. 0.81 (93/1154)
if randomly selected person is given so it is a male only use male column same for female
Determine is events E and F are independent or dependent
Q. E: person having a high GPA
F: the same person being highly organized
A. E and F are dependent bc being highly organized can affect the probability of a person
having a high GPA
Q. E: randomly selected person having a high GPA
F: another randomly selected person having a low GPA
A: E cannot affect F and vice versa bc the people were randomly selected so the events are
independent
This study source was downloaded by 100000840946462 from CourseHero.com on 02-15-2022 22:05:56 GMT -06:00
https://www.coursehero.com/file/23928258/Weeks-34-homework/
, Q. E: war in a major oil-exporting country
F: the price of gasoline
A: THE WAR IN A MAJOR OIL-EXPORTING COUNTRY COULD AFFECT THE PRICE OF
gasoline, so E and F are dependent
In the general population, one woman in ten will develop breast cancer. Research has shown that 1
woman in 650 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation
develop breast cancer.
Q. Find the probability that a randomly selected woman will develop breast cancer given that she has a
mutation of the BRCA gene
A. probability is .7 (7/10)
Q. Find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will
develop breast cancer.
A. probability is .0011 (1/650*.7)
In a sample of 1200 U.S. adults, 210 dine out at a restaurant more than once per week. Two
U.S. adults are selected at random from the population of all U.S. adults without replacement
Q. Find the probability that both adults dine out more than once per week.
A..030 (210/1200) = .175
209/1199= .174
.175*.174= 0.030
Q. Find the probability that neither adult dines out more than once per week.
A. .681
1-.175= .825
.825 * .825=.681
Q. Find the probability that at least one of the two adults dine out more than once per week.
A. .319
1-.681=.319
Q. Which of the events can be considered unusual? Explain. Select all that apply.
A. The event in part a is unusual bc its probability is less than or equal to 0.05
According to a survey, 54% of the residents of a city oppose a downtown casino. Of these 54% about 66
out of 10 strongly oppose the casino. Complete parts (a) through (c).
Q. Find the probability that a randomly selected resident opposes the casino and strongly opposes the
casino.
A. .324 (.54 * .60 (6/10) = .324
Q. Find the probability that a randomly selected resident who opposes the casino does not strongly
oppose the casino.
A. .4 (.60*100) = 60
100-60= 40
40/100= .4
Q. Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose
the casino?
A. No his is not unusual bc the probability is not less than or equal to 0.05
A standard deck of cards contains 52 cards. One card is selected from the deck.
(a) Compute the probability of randomly selecting a spades or heart.
(b) Compute the probability of randomly selecting aa spade or heart or club.
(c) Compute the probability of randomly selecting aa five or heart.
This study source was downloaded by 100000840946462 from CourseHero.com on 02-15-2022 22:05:56 GMT -06:00
https://www.coursehero.com/file/23928258/Weeks-34-homework/
The access code for a car's security system consists of six digits. The first digit cannot be 9 and the last
digit must be odd.
Q. How many different codes are available?
A. 450000
-how many events occur? 6 (6 digits)
-how many choices are there for the first digit? 9 (0,1,2,3,4,5,6,7,8)
-how many choices are there for the 2nd, 3rd, 4th and 5th? 10 (0-9)
-how many choices are there for the last digit? 5 (1,3,5,7,9)
9*10*10*10*10*5 (multiple the number of choices for each digit)
A probability experiment consists of rolling a 6-sided die. Find the probability of the event below.
rolling a number less than 5
Q. What is the probability?
A. 0.667
number of outcomes in event E/Total number of outcomes in sample space
6 outcomes in the sample space/4 outcomes for rolling less than 5
Q. If two events are independent, P(A|B) =P(B)
A. False; if events A and B are independent, then P (A and B) = P(A) * P (B)
Non-nursing majors Total
Nursing Majors
Males 93 1061 1154
Females 723 1629 2352
Total 816 2690 3506
Q.
Find the probability that a randomly selected student is male, given that the student is a nursing
major.
A. .114 (93/816)
Q. Find the probability that a randomly selected student is a nursing major, given that the student
is male.
A. 0.81 (93/1154)
if randomly selected person is given so it is a male only use male column same for female
Determine is events E and F are independent or dependent
Q. E: person having a high GPA
F: the same person being highly organized
A. E and F are dependent bc being highly organized can affect the probability of a person
having a high GPA
Q. E: randomly selected person having a high GPA
F: another randomly selected person having a low GPA
A: E cannot affect F and vice versa bc the people were randomly selected so the events are
independent
This study source was downloaded by 100000840946462 from CourseHero.com on 02-15-2022 22:05:56 GMT -06:00
https://www.coursehero.com/file/23928258/Weeks-34-homework/
, Q. E: war in a major oil-exporting country
F: the price of gasoline
A: THE WAR IN A MAJOR OIL-EXPORTING COUNTRY COULD AFFECT THE PRICE OF
gasoline, so E and F are dependent
In the general population, one woman in ten will develop breast cancer. Research has shown that 1
woman in 650 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation
develop breast cancer.
Q. Find the probability that a randomly selected woman will develop breast cancer given that she has a
mutation of the BRCA gene
A. probability is .7 (7/10)
Q. Find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will
develop breast cancer.
A. probability is .0011 (1/650*.7)
In a sample of 1200 U.S. adults, 210 dine out at a restaurant more than once per week. Two
U.S. adults are selected at random from the population of all U.S. adults without replacement
Q. Find the probability that both adults dine out more than once per week.
A..030 (210/1200) = .175
209/1199= .174
.175*.174= 0.030
Q. Find the probability that neither adult dines out more than once per week.
A. .681
1-.175= .825
.825 * .825=.681
Q. Find the probability that at least one of the two adults dine out more than once per week.
A. .319
1-.681=.319
Q. Which of the events can be considered unusual? Explain. Select all that apply.
A. The event in part a is unusual bc its probability is less than or equal to 0.05
According to a survey, 54% of the residents of a city oppose a downtown casino. Of these 54% about 66
out of 10 strongly oppose the casino. Complete parts (a) through (c).
Q. Find the probability that a randomly selected resident opposes the casino and strongly opposes the
casino.
A. .324 (.54 * .60 (6/10) = .324
Q. Find the probability that a randomly selected resident who opposes the casino does not strongly
oppose the casino.
A. .4 (.60*100) = 60
100-60= 40
40/100= .4
Q. Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose
the casino?
A. No his is not unusual bc the probability is not less than or equal to 0.05
A standard deck of cards contains 52 cards. One card is selected from the deck.
(a) Compute the probability of randomly selecting a spades or heart.
(b) Compute the probability of randomly selecting aa spade or heart or club.
(c) Compute the probability of randomly selecting aa five or heart.
This study source was downloaded by 100000840946462 from CourseHero.com on 02-15-2022 22:05:56 GMT -06:00
https://www.coursehero.com/file/23928258/Weeks-34-homework/
