There are 142 people participating in a local 5K road race. Sixty-five of these runners are female. Of the female runners, 19 are participating in their first 5K road race. Of the male runners, 28 are participating in their first 5K road race. Are the events female and participating in their first 5K road race independent? Are they mutually exclusive? Explain why or why not.
Answer to relevant QuestionsDefine the following two events for two tosses of a coin: A = at least one head is obtained B = both tails are obtained a. Are A and B mutually exclusive events? Are they independent? Explain why or why not. b. Are A and B ...What is meant by the joint probability of two or more events? Give one example. Given that A, B, and C are three independent events, find their joint probability for the following. a. P (A) = .81 and P (B | A) = .36 b. P (B) = .02 and P (A | B) = .05 The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated. a. If one of these ...Forty-seven employees in an office wear eyeglasses. Thirty-one have single-vision correction, and 16 wear bifocals. If two employees are selected at random from this group, what is the probability that both of them wear ...
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