49% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.

Question

49​% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.

destinyyyy · Answer

Im at 252(0.49)^5 (0.51)^5

phi · Answer

at least six would be  1 - sum(0,1,2,3,4,5)
less than four would be sum(0,1,2,3)

destinyyyy · Answer

Im sorry, but I dont understand what your talking about.

destinyyyy · Answer

(a) exactly​ five- answer is 0.246
 (b) at least​ six- answer is 0.353
 (c) less than four- answer is 0.189

destinyyyy · Answer

I want to know how to solve this step by step. My examples dont show how it goes from one step to the next.

phi · Answer

for the first question, use a calculator or type this into google:
 252(0.49)^5 (0.51)^5=

phi · Answer

Find the probability that the number who consider themselves baseball fans is (b) at least​ six
I would find the Pr(0), Pr(1), Pr(2), Pr(3), Pr(4), Pr(5)
(note: we already did Pr(5))
add them up
then find 1 - sum
that will be the probability of bigger than 5 i.e. Pr(at least six)

phi · Answer

(c) less than four.
that is Pr(0)+Pr(1)+Pr(2)+Pr(3)

note: we have these numbers from part (b)

destinyyyy · Answer

Okay.