Chapter 5: Q 5.84. (page 216)
Suppose that A and B are events such that and Determine .
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Chapter 5: Q 5.84. (page 216)
Suppose that A and B are events such that and Determine .
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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.
Constract a venn diagram representing the event.
Part (a) .
Part (b).
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.
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Occupations in Seoul. The population of Seoul was studied in an article by B. Lee and J. McDonald, "Determinants of Commuting Time and Distance for Seoul Residents: The Impact of Family Status on the Commuting of Women" (Urban Studies, Vol. 40, No. 7, pp. 1283-1302). The authors examined the different occupations for males and females in Seoul. The table at the top of the next page is a frequency distribution of occupation type for males taking part in a survey. (Note: M = manufacturing, N = nonmanufacturing.)
If one of these males is selected at random, find the probability that his occupation is
(a) service.
(b) administrative.
(c) manufacturing.
(d) not manufacturing.

Constract a venn diagram representing the event.
Part (a) (A (not B)).
Part (b) ((A or B) & (not(A & B)))
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