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Chapter 5: Q. 58 (page 329)
If a player rolls a , it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?
a.
b.
c.
d.
e.
The probability of getting craps or an even sum on one roll of the dice is (d)
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Education among young adults Choose a young adult (aged to ) at random. The probability is that the person chosen did not complete high school, that the person has a high school diploma but no further education, and that the person has at least a bachelor’s degree.
a. What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?
b. Find the probability that the young adult completed high school. Which probability rule did you use to find the answer?
c. Find the probability that the young adult has further education beyond high school. Which probability rule did you use to find the answer?
Taking the train According to New Jersey Transit, the weekday train from Princeton to New York City has a chance of arriving on time. To test this claim, an auditor chooses weekdays at random during a month to ride this train. The train arrives late on of those days. Does the auditor have convincing evidence that the company's claim is false? Describe how you would carry out a simulation to estimate the probability that a train with a chance of arriving on time each day would be late on or more of days. Do not perform the simulation.
In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50 people who had food poisoning and a random sample of 200 people attending the conference who didn’t get food poisoning. The detectives found that 40% of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10% of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40% of people who went to the party? (Let F = got food poisoning and A = attended party.)
a. P(F|A) = 0.40
b. P(A|FC) = 0.40
c. P(F|AC) = 0.40
d. P(AC|F) = 0.40
e. P(A|F) = 0.40
Matching suits A standard deck of playing cards consists of 52 cards with 13 cards in each of four suits: spades, diamonds, clubs, and hearts. Suppose you shuffle the deck thoroughly and deal 5 cards face-up onto a table.
a. What is the probability of dealing five spades in a row?
b. Find the probability that all 5 cards on the table have the same suit.
When did you leave? The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. Here is an assignment of probabilities for the outcomes :
a. What probability should replace “?” in the table? Why?
b. Find the probability that the chosen trip did not begin between A.M. and P.M.
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