College of St Joseph Probability Equations

Question Description

You want to run a “side-gig” business to supplement your family’s income.It would involve working on the weekends in your hometown of Pensacola, FL.You have narrowed your business down to the following 3 options:

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  1. Washing cars, trucks, boats, etc. (you drive to the customer and bring all supplies except for water hook-up)
  2. Selling homemade popsicles (you make them and sell them from your food truck)
  3. Landscaping (mowing, trimming trees and bushes, replenishing mulch, etc.)

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You have friends that have experience with these weekend “side-gig” businesses already (they inspired you!).Three friends graciously provided you with the following info on the amount of monthly time spent (in hours) on their business (assume all three businesses have comparable annual revenues and profit margins):

Eric (washes cars and such):

Jan

Feb

Mar

Apr

May

June

July

Aug

Sept

Oct

Nov

Dec

19

23

25

31

36

30

35

38

32

27

25

30

Ariel (sells homemade popsicles)

Jan

Feb

Mar

Apr

May

June

July

Aug

Sept

Oct

Nov

Dec

18

18

29

32

30

35

40

34

27

21

19

24

Sebastian (landscaping)

Jan

Feb

Mar

Apr

May

June

July

Aug

Sept

Oct

Nov

Dec

13

17

22

26

33

40

45

43

36

30

25

19

Based on the information provided above, answer the following questions in blue font.

  1. What is the probability for each of these three side-gigs that you would work at least 30 hours a month?Show all calculations/work.
  2. What is the probability for each of these three side-gigs that you would work at least 40 hours a month during peak summer months (June, July, and August)?Show all calculations/work.
  3. What are the odds for each of these three side-gigs that you will have to work over 30 hours during the school year (Sept-May)?Show all calculations/work.
  4. One of your goals is to not sacrifice too much family time with this endeavor.Which side-gig best aligns with this goal in your opinion, and why?
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