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1020lakyn
16.04.2020 •
Mathematics
Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random. What is the probability that the first call will be to either a Democrat or a Republican?
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Ответ:
Step-by-step explanation:
GIVEN: Suppose that in a certain county
of voters are registered as Democrats,
as Republicans,
as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.
TO FIND: Probability that the first call will be to either a Democrat or a Republican.
SOLUTION:
Lets total population of county be
.
voters registered as Democrats![=37\%=\frac{37}{100}\times100x](/tpl/images/0604/0069/401cc.png)
voters registered as Republicans![=29\%=\frac{29}{100}\times100x](/tpl/images/0604/0069/7ba53.png)
voters registered as Green party![=7\%=\frac{7}{100}\times100x](/tpl/images/0604/0069/00c05.png)
Probability that first call will be to Democrats![P(A)=\frac{\text{total democrats}}{\text{total voters}}](/tpl/images/0604/0069/0658b.png)
Probability that first call will be to Republican![P(B)=\frac{\text{total republicans}}{\text{total voters}}](/tpl/images/0604/0069/cfc4b.png)
probability that the first call will be to either a Democrat or a Republican
Hence the probability that the first call will be to either a Democrat or a Republican is![0.66](/tpl/images/0604/0069/61138.png)
Ответ:
1) commutative property of addition
2) distributive property
3) commutative property of multiplication
4)associative property of addition
Step-by-step explanation:
You are probably done but im 100% sure this is it