Chapter 5: Q 5.7. (page 200)
State the frequentist interpretation of probability.
The proportion of times an event occurs in a large number of repetitions of the same experiment determines its probability.
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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.
What is the relationship between Bernoulli trials and the binomial distribution?
Draw a venn diagram portraying four mutually exclusive events.
Which of the following numbers could not possibly be a probability? Justify your answer.
a. 5/6
b. 3.5
c. 0
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Murder Victims. As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following table.
A murder case in which the person murdered was 59 years old is selected at random. Find the probability that the murder victim was
(a) between 40 and 44 years old, inclusive.
(b) at least 25 years old, that is, 25 years old or older.
(c) between 45 and 59 years old, inclusive.
(d) under 30 or over 54.
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