Determine the probability of each number of planes sold—of 0, 1, 2, 3—in a 50-week period.

In an essay of no less than three pages, contrast the major differences between the normal distribution from Unit III and the exponential and Poisson distributions. Include an example situation where each one is best suited to be matched to answer a question.

Be sure to provide research to support your ideas. Use APA style, and cite and reference your sources to avoid plagiarism
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UNIT II
Pioneer Aircraft Co. sells private, single-engine planes. Most sales are for customers engaged in private and leisure flying. In a 50-week period, sales in the past five years have averaged to the following:

PLANES SOLD WEEKS THIS NUMBER SOLD
0 40
1 8
2 1
3 1

In a three-page essay, determine the items below:

Determine the probability of each number of planes sold—of 0, 1, 2, 3—in a 50-week period. (Pioneer sales office is closed the other two weeks of the year.)
Decide what approach is best used to determine probability. Distinguish between the approaches to make it clear that the approach used was the best fit for these airplane sales.
Determine if the approach would change if we also needed to track sales of some planes with GPS installed.
Be sure to provide research to support your ideas. Use APA style, and cite and reference your sources to avoid plagiarism.
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UNIT III
Leaders of a local club want to focus on recruiting and looked through their recruiting and membership paperwork. They realized that over the past 30 years of annual open-house events, they spoke to four people who were interested enough in joining to take an application packet home. The historical probability P(X) that the interested prospective members would join is below.

0 join: 0.1
1 join: 0.2
2 join: 0.4
3 join: 0.2
4 join: 0.1
When they hold an open house this year, how many members (what is the expected value) should they anticipate joining?

Explain your approach to determining the number of expected new members in a three-page response. Be sure to research sources to support your ideas, and integrate your sources using APA-formatted citations and matching reference lists. Additionally, use Times New Roman 12pt. double-spaced font.