- #1
Jimerd
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A box contains 12 marbles. Six of the marbles are red, four are green, and two are yellow. Suppose that you choose three marbles at random. let x be the number of red marbles in the sample, y be the number of green marbles, and z be the number of yellow marbles.
a. Give the precise formulas for the probability mass functions of the three random variables, f(x), f(y), and f(z).
b. Suppose you win $1 for each green marble in your sample and lose $1 for each red marble (yellow has no financial consequences). Let w be your net winnings or losses. Construct the P.M.F of w as a table. (obviously the table part cannot be shown in this answer)
c. Find the expected value of w and explain its significance.
d. Find the standard deviation of w.
Any help is greatly appreciated! If anyone can point me in the right direction, that'll be great!
a. Give the precise formulas for the probability mass functions of the three random variables, f(x), f(y), and f(z).
b. Suppose you win $1 for each green marble in your sample and lose $1 for each red marble (yellow has no financial consequences). Let w be your net winnings or losses. Construct the P.M.F of w as a table. (obviously the table part cannot be shown in this answer)
c. Find the expected value of w and explain its significance.
d. Find the standard deviation of w.
Any help is greatly appreciated! If anyone can point me in the right direction, that'll be great!