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Chapter 5: Q 1.2. Intercepts; Symmetry; Graphing Key Equations (page 303)
Say in plain language what the event?
occurrence and probability.
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Cold weather coming to A TV weather man, predicting a colder-than-normal winter, said, 鈥淔irst, in looking at the past few winters, there has been a lack of
really cold weather. Even though we are not supposed to use the law of averages, we are due.鈥� Do you think that 鈥渄ue by the law of averages鈥� makes sense in talking about the weather? Why or why not?
Explain why events A and B are mutually exclusive
Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.
(a) According to a recent poll, of American adults regularly recycle. To simulate choosing a random sample of U.S. adults and seeing how many
of them recycle, roll a -sided die times. A result of , or means the person recycles; a means that the person doesn鈥檛 recycle.
(b) An archer hits the center of the target with of her shots. To simulate having her shoot times, use a coin. Flip the coin once for each of the 10
shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesn鈥檛.
Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.
Probability models? In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer.
(a) Roll a die and record the count of spots on the up-face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3,
P(5) = 1/6, P(6) = 0.
(b) Choose a college student at random and record gender and enrollment status: P(female full-time) = 0.56, P(male full-time) = 0.44, P(female part-time) = 0.24, P(male part-time) = 0.17.
(c) Deal a card from a shuffled deck: P(clubs) = 12/52, P(diamonds) = 12/52, P(hearts) = 12/52,
P(spades) = 16/52.
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