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Chapter 6: Q.1 (page 409)
What is the probability that a randomly chosen subject completes at least puzzles in the five-minute period while listening to soothing music?
(a) 0.3 (c) 0.6 (e) Cannot be determined
(b) 0.4 (d) 0.9
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Explain whether the given random variable has a binomial distribution Sowing seeds Seed Depot advertises that of its flower seeds will germinate (grow). Suppose that the company鈥檚 claim is true. Judy buys a packet with flower seeds from Seed Depot and plants them in her garden. Let the number of seeds that germinate
Running a mile A study of able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean minutes and standard deviation minute. Choose a student at random from this group and call his time for the mile . Find and interpret the result. Follow the four-step process.
Kids and toys Refer to Exercise 4. Calculate and interpret the standard deviation of the random variable . Show your work.
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.
Refer to the previous Check Your Understanding (page 390) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined the number of Patti's correct guesses.
3. What's the probability that the number of Patti's correct guesses is more than standard deviations above the mean? Show your method.
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