Question

39% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name their favvorite kind of nut. Find the probability that the number who say cashews are thrie favorite nutis (a)exactly three, (b) at least four, (c) at most two

Answer 1

You can use a binomial probability table, or calculate by hand using the following formula:

P(x) = (nCx)(p^x)[q^(n-x)]

p = .39
q = 1 - p
n = 12

For (a): find P(3)
For (b): find P(0),P(1),P(2),P(3). Add for a total, then subtract from 1 for your probability.
For (c): find P(0),P(1),P(2). Add for your total probability.

I'll let you take it from here.

Answer 2

A) 0.153
B) 0.753
C) 0.095

Answer 3

36%of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name their favvorite kind of nut. Find the probability that the number who say cashews are thrie favorite nutis (a)exactly three, (b) at least four, (c) at most two