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Chapter 5: Q 5.51. (page 209)
Answer true or false to the following statement and justify your answer. If event A and event B are mutually exclusive, neither are events A,B and C for every event C.
The claim is untrue.
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Bilingual and Trilingual. At a certain university in the United States, 62 % of the students are at least bilingual - speaking English and at least one other language. Of these students, 80 % speak Spanish and, of the 80 % who speak Spanish, 10 % also speak French. Determine the probability that a randomly selected student at this university
(a) does not speak Spanish.
(b) speaks Spanish and French.
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.
Suppose that a simple random sample is taken from a finite population in which each member is classified as either having or not having a specified attribute. Fill in the following blanks.
(a) If sampling is with replacement, the probability distribution of the number of members sampled that have the specified attribute is a distribution.
(b) If sampling is without replacement, the probability distribution of the number of members sampled that have the specified attribute is a distribution.
(c) If sampling is without replacement and the sample size does not exceed % of the population size, the probability distribution of the number of members sampled that have the specified attribute can be approximated by a distribution.
Answer true or false to the following statement and justify your answer. If event A and event B are not mutually exclusive, neither are events A,B and C for every event C.
Fill in the blanks.
(a) A is a quantitative variable whose value depends on chance.
(b) A discrete random variable is a random variable whose possible values .
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