Statistics and Probability: Probability distribution

Question

MelaIvyTyro

Asked: April 7, 20212021-04-07T09:53:12+00:00 2021-04-07T09:53:12+00:00In: High School/Senior Secondary School, Statistics and Probability

a box contains 3 $1 bills, 2 $5 bills, 1 $10 bill and 1 $20 bill. construct a probability distribution

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acedstud · Answer 1 · 2021-04-07T11:00:07+00:00

acedstud

This answer was edited.

Let a bill be picked at random from the bow, the following probabilities results:

$P($1 bill)=\dfrac{\text{number of 1 dollar bills}}{\text{total number of bills}}=\dfrac{3}{7}$ .

$P($5 bill)=\dfrac{\text{number of 5 dollar bills}}{\text{total number of bills}}=\dfrac{2}{7}$ .

$P($10 bill)=\dfrac{\text{number of 10 dollar bills}}{\text{total number of bills}}=\dfrac{1}{7}$ .

$P($20 bill)=\dfrac{\text{number of 20 dollar bills}}{\text{total number of bills}}=\dfrac{1}{7}$ .

Thus, the table of the probability distribution is

x	$1	$5	$10	$20
P(x)	3/7	2/7	1/7	1/7

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