SOLUTION: 31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. Find the probability that the number who say cashe

Question 978976: 31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient use technology to find the probabilities.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
p = 0.31
n = 12

I'm going to use a TI-84 calculator. Specifically, I'm using the binompdf and binomcdf functions.

(a)
Exactly 3

P(x = k) = binompdf(n,p,k) = binompdf(12, 0.31, 3) = 0.23235

P(x = 3) = 0.23235

Answer: 0.23235

-----------------------------------------------------------
(b)
At least 4
P(x <= k) = binomcdf(n, p, k) = binomcdf(12, 0.31, 3) = 0.46194

P(x <= 3) = 0.46194

P(x >= 4) = 1 - P(x < 4)
P(x >= 4) = 1 - P(x <= 3)
P(x >= 4) = 1 - 0.46194
P(x >= 4) = 0.53806

Answer: 0.53806
-----------------------------------------------------------
(c)
At most two

P(x <= k) = binomcdf(n, p, k) = binomcdf(12, 0.31, 2) = 0.22959

P(x <= 2) = 0.22959

Answer: 0.22959
RELATED QUESTIONS
Please help me solve this;44% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU... (answered by stanbon)

38% of adults say cashews are their favorite kind of nut. You randomly select 12 adults... (answered by Boreal,stanbon)

36% of adults say cashews are their favorite kind of nut. You randomly select 12 adults... (answered by ikleyn)

37% of adults say cashews are their favorite kind of nut. You randomly select 12 adults... (answered by reviewermath)

Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU... (answered by stanbon)

32% of adults say cashews are their favorite kind of nut. You randomly select 12... (answered by Boreal)

42% of adults say cashews are their favorite kind of nut. You randomly selected 12... (answered by Edwin McCravy)

34% of adults say cashews are their favorite kind of nut. You randomly selected 12... (answered by stanbon)

45% of adults say cashwes are they favorite kind of nut. you randonly selectec 12 adults... (answered by ad_alta)