Please help! Confused! 33- 35 In a Bob Appetit poll, 35% of people said that cho
ID: 3129294 • Letter: P
Question
Please help! Confused!
33- 35 In a Bob Appetit poll, 35% of people said that chocolate was their favorite flavor of ice cream. A sample of 6 independently selected people was asked to name their favorite flavor of ice cream,
33. what is the probability that exactly 3 of them prefer chocolate?
A) 0.8826
B) 0.6471
C) 0.2355
D) 0.5000
34. what is the probability that two or more of them prefer chocolate?
A) 0.8826
B) 0.6809
C) 0.5000
D) 0.3529
35. What is the probability that more than 1 but less than 4 people prefer chocolate?
A) 0.2355
B) 0.3280
C) 0.3333
D) 0.5635
Explanation / Answer
1. 6C3*((.35)^3)*((.65)^3) = .2355 using binomial with n =6 and x=3 and p = 0.35
2. P(X >or equal to 2) = 1-(P(X=0)+P(X=1)) = 1- ((6C0*((.35)^0)*((.65)^6) +6C1*((.35)^1)*((.65)^5) = 1-(0.0754189+0.2436610) = 0.6809
3. P(1<X<4) = P(X=2)+P(X=3) = (6C2*((.35)^2)*((.65)^4) +6C3*((.35)^3)*((.65)^3) =0.3280052+0.2354909 =0.5635