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Spring 2011 Homework 1

# Spring 2011 Homework 1 - Her local community center asks to...

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Probability and Statistics for Engineering Homework 1 Spring 2011 (due Tuesday, January 25) In each of the following problems, be sure to show the set-up (for example, the appropriate notation for permutations or combinations) as well as the final numerical answer. All non-exact probabilities in a final answer should be rounded to four decimal places. (1) The 25 members of the Math Club are choosing officers for the year. There will be a seven-person executive committee consisting of President, Vice-President, Secretary, Treasurer, and three general committee members. In how many ways can this seven-person executive committee be chosen from among the 25 members? (2) Lucille has a collection of 43 antique dolls, of which 12 are made of porcelain.
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Unformatted text preview: Her local community center asks to display 10 of the dolls in a locked display case for the month of February. If the selection of the 10 dolls is made randomly, what is the probability that at least two of them will be porcelain? (3) A bridge hand consists of 13 cards drawn randomly from a standard deck of 52 cards. What is the probability that a bridge hand will contain four cards from each of two suits, three cards from another suit, and two cards from the remaining suit? (4) Suppose 31% of American households own a dog, 19% own a cat, and 58% own neither a dog nor a cat. What is the probability that a randomly-selected American household owns a dog or a cat but not both?...
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