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Chapter 6: Q.4 (page 385)
A company manufactures rubber balls. The mean diameter of a ball is with a standard deviation of 0.2 cm. Define the random variable in words. ______________.
Diameter of a ball in centimeter.
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An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of days and a standard deviation of days. An alleged father was out of the country from to days before the birth of the child, so the pregnancy would have been less than days or more than days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the localid="1653472319552" -scores first, and then use those to calculate the probability.
What is the z-score of x= –, if it is standard deviations to the right of the mean?
Suppose X ~ N(4, 2). What value of x is 1.5 standard deviations to the left of the mean?
What is the -score of , when and ?
Is X~N() a standardized normal distribution? Why or why not?
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