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Enumeration Example
Suppose ABC University has 3 different math courses, 4 different business courses, and 2 different sociology courses. Tell me the number of ways a student can choose one of EACH kind of course. Then tell me the number of ways a student can choose JUST one of the course.
Enumeration - Handshakes
Consider the problem of how to arrange a group of n people so each person can shake hands with every other person. How might you organize this process? How many times will each person shake hands with someone else? How many handshakes will occur? How must your method vary according to whether or not n is even or odd?
Combinations & Permutations
What is the difference between combinations and permutations? What are some practical applications of combinations? Permutations?
Permutation Example
Find the number of permutations of A,B,C,D,E,F taken three at a time (in other words find the number of "3-letter words" using only the given six letters WITHOUT repetition).
Consider the flow under the sluice gate of Fig. If y1 = 10 ft and all losses are neglected except the dissipation in the jump, calculate y2 and y3 and the percentage of dissipation, and sketch the flow to scale with the EGL included. The channel i..
The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this v..
What is the independent variable in this study? What are the dependent variables?
They have debated whether the power cost should be treated as fixed, variable, or both. Using the following data you are charged to settle this issue and determine the best cost formula for Wheeler.
Rewrite this function as a linear relation between redefined variables and Graph the data such that the linearity assumption can be tested. Compare the data in this plot with a linear function to find the model parameters.
Question 3: The null hypothesis for the test of independence states that no correlation exists between the variables.
a) What is meant by time value of money? b) Draw a cash flow diagram to show how much money a person should be willing to pay now that will yield RM400 per year for 5 years, starting next year if the interest rate is 10% per year. (Note: DO NOT so..
Based on experience with the current coffee makers, your best guess for the population standard deviation, sigma, is 1.2 cups. How big of a sample do you need? Calculate the estimated sample size needed for the above scenario and communicate your ..
Problem 1: Find the value of y(4) when
Is his solution optimal? Without solving the problem, explain why you believe this solution is optimal or not optimal.
Describe a situation where it would be appropriate to use forecasting. Be sure to include all the necessary steps to develop the forecast and why you would use the forecast you chose. Please be thorough and provide enough detail.
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