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Chapter 6: Q.2 (page 409)
Suppose that three randomly selected subjects solve puzzles for five minutes each. The expected value of the total number of puzzles solved by the three subjects is
(a) . (c) . (e).
(b) . (d) .
Expected value of total number of puzzle is
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For each of the following situations, determine whether the given random variable has a binomial distribution. Justify your answer.
Choose three students at random from your class. Let the number who are over feet tall.
The mean of is
(a)
(b)
(c)
(d)
(e)
Ms. Hall gave her class a -question multiple-choice quiz. Let the number of questions that a randomly selected student in the class answered correctly. The computer output below gives information about the probability distribution of X. To determine each student鈥檚 grade on the quiz (out of localid="1649489099543" ), Ms. Hall will multiply his or her number of correct answers by 10. Let localid="1649489106434" the grade of a randomly chosen student in the class.
localid="1649489113566"
(a) Find the mean of localid="1649489121120" . Show your method.
(b) Find the standard deviation of localid="1649489127059" . Show your method.
(c) How do the variance of localid="1649489132289" and the variance oflocalid="1649489138146" compare? Justify your answer.
86.in wins As a special promotion for its -ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, 鈥淧lease try again,鈥� while others said, 鈥淵ou鈥檙e a winner!鈥� The company advertised the promotion with the slogan 鈥�inwins a prize.鈥� Suppose the company is telling the truth and that every -ounce
bottle of soda it fills has a-in-chance of being a winner. Seven friends each buy one -ounce bottle of the soda at a local convenience store. Let the number who win a prize.
(a) Explain why is a binomial random variable.
(b) Find the mean and standard deviation of . Interpret each value in context.
(c) The store clerk is surprised when three of the friends win a prize. Is this group of friends just lucky, or is the company鈥檚 -in- claim inaccurate? Compute and use the result to justify your answer.
Predicting posttest scores() What is the equation of the linear regression model relating posttest and pretest scores? De铿乶e any variables used.
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