A recent analysis of the number of rainy days per month found the following outcomes and probabilities: The mean of this distribution is ___.
A) 2
B) 3
C) 4
D) 5
E)

Question

A recent analysis of the number of rainy days per month found the following outcomes and probabilities:  The mean of this distribution is ___.
A) 2 
B) 3 
C) 4 
D) 5 
E) <1

Quizplus · Accepted Answer

The mean of a probabilistic distribution is calculated by multiplying each possible outcome by its corresponding probability, and then adding all of those products together. Using the table given, we have:

(0 x 0.1) + (1 x 0.2) + (2 x 0.3) + (3 x 0.3) + (4 x 0.1) = 0 + 0.2 + 0.6 + 0.9 + 0.4 = 2.1

Therefore, the mean number of rainy days per month is 2.1, which is closest to choice C) 4.

A Recent Analysis of the Number of Rainy Days Per