SOLUTION: Five out of 50 people called to give money to a charity actually agrees to give money. Based on this percentage, what is the probability that out of the next 25 people called: a.

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Question 822677: Five out of 50 people called to give money to a charity actually agrees to give money. Based on this percentage, what is the probability that out of the next 25 people called:
a. At least two agree to give money?
b. At most 5 agree to give money?
c. More than 3 agree to give money?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Five out of 50 people called to give money to a charity actually agrees to give money.  p(success) = 5/50 = .1

BINOMIAL Distribution P(x) = nCx* p%5Ex%2Aq%5E%28n-x%29 

where p and q are the probabilities of success and failure respectively. 

In this case p = .10 & q = .90 & n = 25   nCx = n%21%2F%28x%21%28n-x%29%21%29

For ex:   P(x = 25) =+%28.10%29%5E25

Recommend using Your TI calculator for cumulative probabilities.

and stattrek.com as an excellent reference. 

what is the probability that out of the next 25 people called:

a. At least two agree to give money? P(x≥2) = 1 - binomcdf(25, .10, 1)

b. At most 5 agree to give money?  P(x≤5) =  binomcdf(25, .10, 5)

c. More than 3 agree to give money? P(x>3) = 1 - binomcdf(25, .10, 3)