Question 1172798: A recent estimate suggested that, of all individuals
and couples reporting income in excess of $200,000,
6.5% either paid no federal tax or paid tax at an ef-
fective rate of less than 15%. A random sample of 100
of those reporting income in excess of $200,000 was
taken. What is the probability that more than 2 of the
sample members either paid no federal tax or paid tax
at an effective rate of less than 15%?
Found 3 solutions by ewatrrr, MathTherapy, math_tutor2020: Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Hi
Binomial , Cumulative Distribution
p(desired outcome) = .065, n = 100
P(x >2) = 1 - P(x ≤ 2) = 1 - binomcdf(100, .065, 2) = 1-.0384 = .9616
Recommend using stattrek.com Binomial calculator to check YOUR work.
Wish You the Best in your Studies.
Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website! A recent estimate suggested that, of all individuals and couples reporting income in excess of $200,000, 6.5% either paid no federal tax or paid tax at an effective rate of less than 15%. A random sample of 100 of those reporting income in excess of $200,000 was taken. What is the probability that more than 2 of the sample members either paid no federal tax or paid tax at an effective rate of less than 15%?
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!
The tutor @ewatrrr has the correct answer because P(X > 2) = 0.9616 approximately
In contrast, @MathTherapy computed to get roughly 0.9904; but the question isn't asking "2 or more". Instead the question is asking for the probability of getting "more than 2".
Edit: Disregard this because @MathTherapy has fixed their solution.
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