QUESTION 1
Match each discete probability distribution type to a definition of random variable X.
discrete uniform distribution
binomial distribution
geometric distribution
negative binomial distribution
hypergeometric distribution
Poisson distribution
multinomial distribution
A. X = the number of red marbles in a
sample of 5 marbles that are pulled out
of a bag of marbles containing 100 total
marbles, 30 of which are red (note that
the entire sample of 5 marbes is pulled
out at once, without replacement)
B. X = the total number of coin flips to get
15 \"tails\"
C. X = the number automobiles that run a
red light at a high-traffic intersection in a
random hour, where the long-run
average is known to be 5 red-light-
runners/hour
D. X = the number of card draws from a
standard 52-card deck to get the first
Ace (where each card drawn is placed
back in the deck and the deck is
eshuffled before the next draw)
E. X = the number of times a 3 faces up out
of a total of 10 rolls of a fair, 6-sided die
F. X = the value facing up after a fair, 6-
sided die roll
G. $(X_1, X_2, X_3)$ = the number of (red,
purple, blue) marbles when 20 total
marbles are drawn (with replacement)
from a bag containing 2 red marbles, 3
purple marbles, and 5 blue marbles
70 points
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