Discussion week5

Week 5, Probability Distributions

Fundamentals of Computational Mathematics

CUNY MSDS DATA 605, Fall 2018

Rose Koh

09/21/2018

Chapter 1,2

Say the samples are as follows:

\(w_1\)={A,A}, \(w_2\)={A,B}, \(w_3\)={A,C},

\(w_4\)={B,A}, \(w_5\)={B,B}, \(w_6\)={B,C},

\(w_7\)={C,A}, \(w_8\)={C,B}, \(w_9\)={C,C}

And the first grade is John’s, and the second is Mary’s.

We are given that:

probability of John getting a B

P(\(w_4\)) + P(\(w_5\)) + P(\(w_6\)) = .3

probability of Mary getting a B

P(\(w_2\)) + P(\(w_5\)) + P(\(w_8\)) = .4

probability that neither gets an A but at least one gets a B

P(\(w_5\)) + P(\(w_6\)) + P(\(w_8\)) = .1

Adding the first two equations and subtracting the third equation, we get the probability that at least one gets a B but neither gets a C.

P(\(w_2\)) + P(\(w_4\)) + P(\(w_5\)) = .6