1.We are interested in analyzing data from bike sharing in LA. Use O to denote a one-way route and A to denote an annual pass. The probability that someone has a one-way trip route is 84.74%. The probability that they have an annual pass is 2.77%. The probability that they have an annual pass and took a one-way trip route is 2.7%.

a.What percentage of people take a one-way trip or have an annual pass?

b.What percentage of people take a two-way trip route?

c.Given someone has an annual pass, what is the probability that they took a one-way trip?

d.What percentage of people do NOT take a one-way trip route NOR have an annual pass?

e.Are O and A mutually exclusive events? Why or why not?

f.Are O and A independent events? Explain, using probabilities.

g.If we know someone took a one-way trip, what is the probability they have an annual pass?

2.Building off of question 2, we know that 58% of trips are 15 minutes or less. Suppose we take a sample of 10 trips.

a.How many rides out of the 10 are expected to be 15 minutes or less?

b.What is the standard deviation?

c.What is the probability that exactly 2 of the rides are 15 minutes or less?

d.What is the probability that more than 2 of the rides are 15 minutes or less?

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