Reference no: EM13858495

Problem 1: Consider the following data:

x	1	2	3	4	5
P(X = x)	0.1	0.3	0.2	0.2	0.2

Step 1: Find the expected value E(X).

Step 2: Find the standard deviation.

Problem 2: Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 31 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 82 and 159 miles in a day.

Problem 3: Consider the table below, which describes the rate of economic growth (Xi) and the rate on the S&P 500 (yi). Calculate the covariance and the correlation coefficient for the data set.

Economic Growth % (xi)	S&P 500 Returns % (yi)
2.1	8
2.5	12
4.0	14
3.6	10