## MATH 4650 HOMEWORK #1 SOLUTIONS

The formulation in part d is a constrained problem. The only change necessary in the integer programming model for part a is that the right-hand side of the last constraint is increased from 1 to 2. The portfolio above will be optimal as long as the yields remain in the following intervals: Each page may be picked at most once. The binding constraints are the manufacturing time and the assembly and testing time. Thus, the optimal solution will not change. Using the contingency table, find the probability that out of the age 20 – 64 group, a randomly selected driver is female.

Does the lower median age for blacks necessarily mean that blacks die younger than whites? The solution found by “rounding down” the solution to the LP relaxation had a value of Find the probability that none of the cookies have an extra fortune. Suppose that this time you randomly draw two cards, one at a time, and without replacement. Kenji, a student in the class, ran 1 mile in 8. If a test comes up positive, based upon numerical values, can you assume that man has cancer?

Williams Rochester Institute of Technology R. Assuming the test market study is used, a portion of the 44650 tree is shown below. A group of 22 graduating students is randomly chosen. Based on his investiga- tion, he writes an article in which he draws conclusions about the overall availability of all college textbooks through online textbook retailers.

As long as the right-hand side of constraint 2 is between 9 and 18, a unit increase in the right-hand side will cause the value of the optimal solution to worsen by 3.

# Lecture Notes: MATH Colorado (CU): Koofers

What percent of the students saw fewer than three movies? B 0,60 A 0 40,0 c. The manuscript review cannot alter homeqork decision to accept the manuscript. Include a branch for all other modes of transportation to work. Bloom This module summarizes the modifications made by Roberta Bloom to the modules included in the custom textbook collection Collaborative Statistics by R. Develop an appreciation for the diversity of problems that can be modeled as linear programs.

In it, people were asked the hmework they were when they purchased their car.

The median age of the U. The payoff table is as follows: Using a larger plane based in Pittsburgh and a larger plane based in Newark, the optimal allocations are: The cards are well shuffled.

Find the probability that at least 4 of the 25 patients actually have the flu. Changing the passenger demand table and rerunning the simulation model would enable South Central to evaluate the other overbooking alternatives and arrive at the most beneficial overbooking policy.

## Tony Shaheen, CSULA Department of Mathematics

A college newspaper reporter is investigating textbook availability at online retailers. Find the probability that 17 or 18 attend.

With your classmates, brainstorm some ways to overcome these problems if you needed to conduct a phone or mail survey. Suppose that one fertile, female cat is randomly chosen. Origin — Node 1 Transshipment Nodes 2 to 5 and node 7 Destination — Node 6 The linear program will have 18 variables for the arcs and 7 constraints for the nodes.

Let B be the event that a red or green is picked, followed by landing a head on the coin toss. We are interested in the number of students who will attend the festivities.

What is the population she is interested in? Find the matb that they have no children. The final simplex tableau is given by: Describe the random variable X in words.

The second constraint now becomes Find the probability that exactly 2 babies were born deaf. Find the probability that a randomly selected individual was male.

The Republican candidate prefers the maximin strategy a4 to obtain a gain of at least Find the probability that his shirt number is from 1 to 33 OR he weighs at most pounds. Students need to be thoroughly engaged in the learning process in order to make sense of statistical concepts.