What is the probability a student will get cold food from Location A

Question

In a particular day, if a  student eats in campus, 50% of the time will be in the  Location A, 30% of the time at the Location B, and 20% of the time at Location C. If he eats at the  Location A, there is a 6% probability that the food he will get is already cold. If he eats at the Location B, there is a 5% probability of cold food, while if he decides to eat at Capri, there is an 8% probability that he will get cold food.

a. What is the probability a student will get cold food from  Location A? 

b. What is the probability that a particular student will get warm food?  

c. If a particular student decides to eat inside campus for 3 successive school days, what is the probability that he will get warm food for 2 out of the 3 days?  

d. What is the probability that a student will get cold food given that he did not eat at the  Location A? 



e. Find the probability that a student ate at Location B given that he ate cold food.

Answer 1

Let's say there are 100 students

A Cold =3 a) 3/50 = 0.06

50 Warm 47 b) (47 + 28.5 + 18.4)/100 = 0.939

c) c(3,2) 0.939^2 0.161^1 = 0.161

B d) (1.5 + 1.6)/(1.5 + 16 + 28.5 + 18.4) = 0.062

30 Cold 1.5 e) 1.5/ (3 + 1.5 + 1.6) = 0.25

Warm 28.5

C

20 Cold 1.6

Warm 18.4