## It is estimated that 4000 of the 10,000 voting residents of a town are against a new sales tax. If 15 eligible voters are selected at random

Question

It is estimated that 4000 of the 10,000 voting residents of a town are against a new sales tax. If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax?

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Math
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2021-10-10T04:13:24+00:00
2021-10-10T04:13:24+00:00 1 Answer
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## Answers ( )

Answer:The probability that at most 7 favor the new tax is 0.7869

Step-by-step explanation:Total number of voting resident = 10000

number of voting resident against new sales tax = 4000

therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4

If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax

Using binomial,

number of selected voters(n) =15,

p=0.4

P(x<=0.7) = binomialcdf(15, 0.4, 7)

Using your calculator

P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869