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Chapter 6: Q.4.2 (page 401)
Suppose you roll a pair of fair, six-sided dice until you get doubles. Let the number of rolls it takes.
Find . Interpret this result in context.
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North Carolina State University posts the grade distributions for its courses online.Students in Statistics in a recent semester received As, Bs, Cs, Ds, and Fs. Choose a Statistics student at random. The student鈥檚 grade on a four-point scale (with ) is a discrete random variable X with this probability distribution:
Say in words what the meaning of is. What is this probability?
Explain whether the given random variable has a binomial distribution
Long or short? Put the names of all the students in your class in a hat. Mix them up, and draw four names without looking. Let the number whose last names have more than six letters.
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.
Life insurance A life insurance company sells a term insurance policy to a-year-old male that pays if the insured dies within the next years. The probability that a randomly chosen male will die each year can be found in mortality tables. The company collects a premium of each year as payment for the insurance. The amount Y that the company earns on this policy is per year, less the that it must pay if the insured dies. Here is a partially completed table that shows information about risk of mortality and the values of profit earned by the company:
(a) Copy the table onto your paper. Fill in the missing values of .
(b) Find the missing probability. Show your work.
(c) Calculate the mean . Interpret this value in context.
83. Random digit dialing Refer to Exercise 81. Let the number of calls that don鈥檛 reach a live person.
(a) Find the mean of . How is it related to the mean of ? Explain why this makes sense.
(b) Find the standard deviation of How is it related to the standard deviation of ? Explain why this makes sense
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