What is the main benefit of public transportation investment?

Compute F(2), where F is the cumulative distribution function of X. Provide 4 digits after the decimal point.

Suppose Cov(X,Y) = -1. Find the mean of 3XY + 4. 

Find the 0.8 quantile of Y. Provide 4 digits after the decimal point. 

As a manager of a shop, you have an access to the past sales data, which indicates that the daily average sales is $800 with the standard deviation $120. Suppose the breakeven sales target of this month is $10,000 and there are 16 business days for the shop on this month. Then, the probability that the sales break even can be approximated by 

[Q17 – Q23] Let Y be a random variable with probability density function , for . Answer the following questions. Show your work for all questions.

Find the value of c. Provide 4 digits after the decimal point.

What is the probability that a patient is given a placebo given she says the pain is reduced? Provide three digits after the decimal point.

[Q6 – Q10] Choose the distribution best models each of the following statistical phenomena.

The number of times you should call to order a pizza delivery until someone picks up the phone on the Super Bowl night.