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Chapter 3: Q.43 (page 217)
Q and R are independent events. and . Find P(R).
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Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, prefer life in prison without parole over the death penalty for a person convicted of first degree murder. of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.
Find P(L AND C).
Roll a fair, six-sided die. Let A = a prime number of dots is rolled. Let B = an odd number of dots is rolled. Then A = {2, 3, 5} and B = {1, 3, 5}. Therefore, A AND B = {3, 5}. A OR B = {1, 2, 3, 5}. The sample space for rolling a fair die is S = {1, 2, 3, 4, 5, 6}. Draw a Venn diagram representing this situation.
Table 3.20 gives the number of suicides estimated in the U.S. for a recent year by age, race (black or white), and sex. We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.
a. Fill in the column for the suicides for individuals over age 64.
b. Fill in the row for all other races.
c. Find the probability that a randomly selected individual was a white male.
d. Find the probability that a randomly selected individual was a black female.
e. Find the probability that a randomly selected individual was black
f. Find the probability that a randomly selected individual was a black or white male.
g. Out of the individuals over age 64, find the probability that a randomly selected individual was a black or white
male.
After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late , the Forum Research polled people to measure the mayor鈥檚 popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:
鈥� In early percent of the population approved of Mayor Ford鈥檚 actions in office.
鈥� In mid-percent of the population approved of his actions.
鈥� In late , the percentage of popular approval was measured at percent.
a. What is the sample size for this study?
b. What proportion in the poll disapproved of Mayor Ford, according to the results from late ?
c. How many people polled responded that they approved of Mayor Ford in late ?
d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-?
e. What is the probability that a person supported Mayor Ford, based on the data collected in early ?
In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.
鈥� R = a red marble
鈥� G = a green marble
鈥� O = an odd-numbered marble
鈥� The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.
S has ten outcomes. What is P(G AND O)?
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