Chapter 5: Q 5.45. (page 209)
Constract a venn diagram representing the event.
Part (a) (A (not B)).
Part (b) ((A or B) & (not(A & B)))
Short Answer
Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

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Chapter 5: Q 5.45. (page 209)
Constract a venn diagram representing the event.
Part (a) (A (not B)).
Part (b) ((A or B) & (not(A & B)))
Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

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If a member is selected at random from a finite population, probabilities are identical to .
Decide which of these numbers could not possibly be probabilities. Explain your answers.
Coin Tossing. When a dime is tossed four times , there are the following 16 possible outcomes.

Here, for example, HTTH represents the outcomes that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. List the outcomes constituting each of the following four events.
A = event exactly two heads are tossed,
B = event the first two tosses are tails,
C = event the first toss is heads,
D = event all four tosses come up the same.
Refer to the exercise 5.66. Among the events A, B, C and D, identify the collection of events that are mutually exclusive.
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.
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