my solution is 100% done, and attached below
Summer 2018 Project 3 – Probability – Distributions - Normal
Context: It is now time to look at the McKoy family’s BGE data through the lenses of probability and
distributions. The list of data is not required for this project. You will look at a two-way table
(contingency table) based on months and average daily usage, as well as a list of random variable
outcomes and the probability of their occurrences. Finally, the binomial and the normal distributions
are applied to answer questions about the probability of specific outcomes. As usual, provide complete
and clear responses to the questions below.
Jan – Apr
May – Aug
Sep – Dec
The above contingency table summarizes the average daily usages on all of the McKoy family’s BGE bills
from January 2005 to December 2017. The years were divided into 3 equal parts consisting of four
months and this is represented by the first column. Each row shows the number of months in the
grouping that was classified by a specific usage category (low, medium, or high). Of course, the entire
table shows the interaction between these two variables. Use this table to respond to the following
1. If one of the BGE bills was selected at random, based on the marginal distributions, what is the
probability of the bill being categorized as Low Usage?
The total number of bills categorized as Low Usage is 5 + 33 + 20 = 58 bills, and there is a total of 156
bills. Hence, the probability of the bill being categorized as Low Usage is equal to
P ( Low Usage ) =
2. Provide the conditional distribution for the usage category based on the monthly grouping.
The conditional distribution for the usage category can be provided as follow: