I need help please 23 of adults would pay more for environm

I need help please. 23 % of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is (a) Exactly two (b) more than 2 (c) between two and 5 inclusive

ROUND UP TO NEAREST THOUSAND PLEASE

Solution

I need help please. 23 % of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is

n=10

p=0.23

(a) Exactly two

P( x =2)

P(X=2) = (₁₀C₂) 0.23² (1-0.23)^10-2   

P(X = 2) = 0.294

(b) more than 2

P( x >2) = 1-( p(x=0)+p(x=1)+p(x=2)) =1-(0.0733+0.2188+0.2942)

1-0.5863 =0.4137

P= 0.414 ( three decimals)

(c) between two and 5 inclusive

P( 2<=x<=5)

= P(x=2)+P(x=3)+P(x=4)+P(x=5)

= 0.2942+0.2343+0.1225+0.0439 = 0.6949

P=0.695 ( three decimals)