MULTIPLE CHOICE. Choose the one alternative that best completes the statement or

Question

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 46) The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. 46) A) mean: 2.25; standard deviation: 0.87 C) mean: 1.50; standard deviation: 0.87 B) mean: 1.50; standard deviation: 0.76 D) mean: 2.25; standard deviation: 0.76 47) The random variable x represents the number of tests that a patient entering a hospital will have 47) along with the corresponding probabilities. Find the mean and standard deviation. x 01 213 14 A) mean: 1.59; standard deviation: 3.71 C) mean: 2.52; standard deviation: 1.93 B) mean: 3.72; standard deviation: 2.52 D) mean: 1.59; standard deviation: 1.09 48) One thousand tickets are sold at $2 each. One ticket will be randomly selected and the winner will 48) receive a color television valued at $350. What is the expected value for a ticket? person that buys one A) $1.00 B) -$1.65 C) -$1.00 D) $1.65 49) In a raffle, 1,000 tickets are sold for $2 each. One ticket will be randomly selected and the winner 49) will receive a laptop computer valued at $1200. What is the expected value for a person that buys one ticket? A)-$0.80 B)-$1.20 C) $1.20 D) $0.8 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question. 50) Decide whether the experiment is a binomial experiment. If it is not, explain why. You roll 50) a die 650 times. The random variab the die. le represents the number that appears on each roll of

Explanation / Answer

46) C

In case of three children, possible outcomes are GGG, GGB, GBG, BGG, BGB, BBG, BGG, BBB which means there are 8 total outcomes.

No of boys (x) P(x) x*P(x) (xi-x)^2*P(x) 0 1/8 0 0.28 1 3/8 0.375 0.09 2 3/8 0.75 0.09 3 1/8 0.375 0.28 Mean 1.5 0.75 SD 0.866025404

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