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Left-handedness occurs in about 12% of all Americans. Males are slightly more Se

ID: 3059354 • Letter: L

Question

Left-handedness occurs in about 12% of all Americans. Males are slightly more Select one likely than females to be left-handed, with 13% of males and 11% of females 10 points being left-handed. Suppose a random sample of 80 females and 100 males is chosen. Let X be the number of males (out of the 100) who are left-handed. Let Y be the number of females (out of the 80) who are left-handed. Let Z be the total number of left-handed individuals in the sample (males and females together). Which of the following is true regarding the random variables X and Y? A. O Both X and Y can be well approximated by normal random variables. B. O Only X can be well approximated by a normal random variable. c. O Only Y can be well approximated by a normal random variable. D. O Neither X nor Y can be well approximated by a normal random variable.

Explanation / Answer

Left-handedness occurs in about 12% of all Americans. Males are slightly more Select one likely than females to be left-handed, with 13% of males and 11% of females 10 points being left-handed. Suppose a random sample of 80 females and 100 males is chosen. Let X be the number of males (out of the 100) who are left-handed. Let Y be the number of females (out of the 80) who are left-handed. Let Z be the total number of left-handed individuals in the sample (males and females together). Which of the following is true regarding the random variables X and Y? A. O Both X and Y can be well approximated by normal random variables. B. O Only X can be well approximated by a normal random variable. c. O Only Y can be well approximated by a normal random variable. D. O Neither X nor Y can be well approximated by a normal random variable.

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