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Problem 1: Consider the following data:
x
1
2
3
4
5
P(X = x)
0.1
0.3
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
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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