Mathematics, 01.11.2019 03:31 sheldavis

Left-handedness occurs in about 12% of all americans. males are slightly more likely than females to be left-handed, with 13% of males and 11% of females 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)both x and y can be well approximated by normal random variables.
b)only x can be well approximated by a normal random variable.
c)only y can be well approximated by a normal random variable.
d)neither x nor y can be well approximated by a normal random variable.

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