SOLUTION: Choose your numbers for N and x. These values for N and x must be original. They must be different than the values chosen by your classmates. About 40% of adults in United State

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Question 1202691: Choose your numbers for N and x. These values for N and x must be original. They must be different than the values chosen by your classmates.
About 40% of adults in United States have a college degree. Thus, the probability that a person has a college degree is p = 0.40. If N adults are randomly selected, find probabilities that
n=2, x = 4
a) exactly x out of selected N adults have a college degree,
b) less than x out of selected N adults have a college degree, and
c) greater than x out of selected N adults have a college degree.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
n = 7
x = 0 to 7
p(x) = p^x * q^(n-x) * c(n,x).
the excel spreadsheet shows the calulations.



for example:

p(x = 3) = .4^3 * .6^4 * c(7,3) which is equal to .4^3 * .6^4 * 35 which is equal to .290304

c(7,3) = 7! / (3! * 4!) = (7*6*5*4!) / (3! * 4!) which is equal to (7*6*5) / (3*2*1) which is equal to 35.

p(x < 3) is equal to p(0) + p(1) + p(2)
p(x > 3) is equal to p(4) + p(5) + p(6) + p(7)