Question 521787: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random,
a. find the probability that at least one has hot peppers.
b.find the probability that exactly two have hot peppers.
c. find the probability that none has hot peppers.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random,
---
Binomial Problem with n = 3 and p(hot) = 5/12 and p(not hot) = 7/12
------ 1985
a. find the probability that at least one has hot peppers.
P(>=1 hot pepper) = 1 - P(no hot peppers) = 1 -(7/12)^3 = 0.8015
---------------------------
b.find the probability that exactly two have hot peppers.
P(x=2) = 3C2(5/12)^2*(7/12) = 0.3038
-----------------------------
c. find the probability that none has hot peppers.
P(x = 0) = 3C0(5/12)^0*(7/12)^3 = 0.1985
===========================================
Cheers,
Stan H.
=================
|
|
|
