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Chapter 3: Q. 108 (page 227)
The events "Other" and "Up for reelection in November 2016" are
a. mutually exclusive.
b. independent.
c. both mutually exclusive and independent.
d. neither mutually exclusive nor independent.
The events Other and Up for reelection in November 2016 are mutually exclusive.
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Use the following information to answer the next exercises. The graph shown is based on more than interviews done by Gallup that took place from January through December . The sample consists of employed Americans years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.
What occupation has the highest emotional index score?
Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.
What does P(E|M) mean in words?
The graph in Figure displayed concerning their approval of Mayor Ford鈥檚 actions in office. The total number in the sample of all the age groups is .
a. Define three events in the graph.
b. Describe in words what the entry means.
c. Describe in words the complement of the entry in question .
d. Describe in words what the entry means.
e. Out of the males and females, what percent are males?
f. Out of the females, what percent disapprove of Mayor Ford?
g. Out of all the age groups, what percent approve of Mayor Ford?
h. Find P(Approve| Male).
i. Out of the age groups, what percent are more than years old?
j. Find P(Approve| Age < ).
The probability that a man develops some form of cancer in his lifetime is . The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.
Use the following information to answer the next two exercises. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.
Let B = the event of landing on blue.
Let R = the event of landing on red.
Let G = the event of landing on green.
Let Y = the event of landing on yellow.
If you land on red, you don鈥檛 get a prize. What is P(R)?
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