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Chapter 5: Q. 5.69. (page 211)
Housing Units. Refer to 5.65. Among the events A, B, C, and D, identify the collection of events that are mutually exclusive.
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In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Coin Tossing. A balanced dime is tossed three times. The possible outcomes can be represented as follows.
Here, for example. HHT means that the first two tosses come up heads and the third tails. Find the probability that
(a) exactly two of the three tosses come up heads.
(b) the last two tosses come up tails.
(c) all three tosses come up the same.
(d) the second toss comes up heads.
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Russian Presidential Election. According to the Central Election Commission of the Russian Federation, a frequency distribution for the March 4. 2012 Russian presidential election is as follows.
Find the probability that a randomly selected voter voted for
a. Putin.
b. either Zhirinovsky or Mironov.
c. someone other than Putin.
What is the binomial distribution?
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Nobel Laureates. From Wikipedia and the article "Which Country Has the Best Brains?" from BBC News Magazine, we obtained a frequency distribution of the number of Nobel Prize winners. by country.
Suppose that a recipient of a Nobel Prize is selected at random. Find the probability that the Nobel Laureate is from
(a) Sweden.
(b) either France or Germany.
(c) any country other than the United States.
Answer true or false to each statement and explain your answers.
(a) For any two events, the probability that one or the other of the events occurs equals the sum of the two individual probabilities.
(b) For any event, the probability that it occurs equals 1 minus the probability that it does not occur.
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