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The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units, and ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredients each contribute 1 unit per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. Formulate a linear programming model for this program.
The event "the price of stock X has increased and the price of stock Y has not increased" may be written as??
What would be a good example of a null and alternative hypotheses for a decision relevant in life? What Type I and Type II errors could occur with your decision-making process?
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour.
Could you explain the Pearson or product-moment correlation? If we were to use a partial correlation, would you want to look at the relationship between two variables while removing the effect of one or two other variables?
The graduates find a job within 1 year of graduating. What is the probability that among 9 randomly selected graduates, at least 1 finds a job within 1 year.
Define the standard error of the mean. What happens to the standard error as the sample size increases? Explain
What assumption tests should be used? A fifth grade science teacher want to know if there is a relationship between final exam scores and overall course points after adjusting for a quiz score.
If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?
Consider a simple random sample of n=116 people. Denote by X the number of people in the sample that have the disease. Calculate the following probabilites. P(X=23)=?
Let F be a field and p(x) and irreducible polynomial over F. Prove that (p(x)) is a prime ideal of F[x]. If R has no divisors of zero, then neither does R[x].
When studying simultaneous responses to two categorical questions, we should set up a a) contingency table. b) frequency distribution.
Select the answer for each question. What type of probability distribution can be used to figure out her chance of getting 10 questions right?
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