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In Unit 2, you have learned about three different types of distributions: Normal, binomial, and Poisson. You can take data that you collect and plot it out onto graphs to see a visual representation o
In Unit 2, you have learned about three different types of distributions: Normal, binomial, and Poisson. You can take data that you collect and plot it out onto graphs to see a visual representation of the data. By simply looking at data on a graph, you can tell a lot about how related your observed data are and if they fit into a normal distribution.
For this submission, you will be given a series of scenarios and small collections of data. You should plot the data or calculate probabilities using excel. Then, you will create your own real or hypothetical scenario to graph and explain.
Answer the following:
- The mean temperature for the month of July in Boston, Massachusetts is 73 degrees Fahrenheit. Plot the following data, which represent the observed mean temperature in Boston over the last 20 years:
- Is this a normal distribution? Explain your reasoning.
- What is an outlier? Are there any outliers in this distribution? Explain your reasoning fully.
- Using the above data, what is the probability that the mean will be over 76 in any given July?
- Using the above data, what is the probability that the mean will be over 80 in any given July?
- A heatwave is defined as 3 or more days in a row with a high temperature over 90 degrees Fahrenheit. Given the following high temperatures recorded over a period of 20 days, what is the probability that there will be a heatwave in the next 10 days?
Customer surveys reveal that 40% of customers purchase products online versus in the physical store location. Suppose that this business makes 12 sales in a given day
- Does this situation fit the parameters for a binomial distribution? Explain why or why not?
- Find the probability of the 12 sales on a given day exactly 4 are made online
- Find the probability of the 12 sales fewer than 6 are made online
- Find the probability of the 12 sales more than 8 are made online
Your own example:
Grading Rubric:
Day 1
93
Day 2
88
Day 3
91
Day 4
86
Day 5
92
Day 6
91
Day 7
90
Day 8
88
Day 9
85
Day 10
91
Day 11
84
Day 12
86
Day 13
85
Day 14
90
Day 15
92
Day 16
89
Day 17
88
Day 18
90
Day 19
88
Day 20
90
1998
72
1999
69
2000
78
2001
70
2002
67
2003
74
2004
73
2005
65
2006
77
2007
71
2008
75
2009
68
2010
72
2011
77
2012
65
2013
79
2014
77
2015
78
2016
72
2017
74
