Question

A data scientist tracked how many cups of coffee she drank every day at work over the course of a year. She used the data to build a probability distribution where the random variable CCC represents the number of cups of coffee she drank on a given day. Here is the partially completed distribution

Answer 1

The ommitted distribution :

C : ___ 0 ____ 1 ____ 2 ____ 3

P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10

Answer:

0.19

Explanation:

Given the table :

C : ___ 0 ____ 1 ____ 2 ____ 3

P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10

The mean of the distribution is defined as :

ΣX * p(X)

Therefore ;

Σ(C * P(C))

= (0*0.05) + (1*0.10) + (2*0.75) + (3*0.10)

= 0 + 0.10 + 1.50 + 0.30

= 1.90

The mean, also the expected value gives the average number of coffee sold.