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Ceramic tiles are shipped in very large batches and an acceptance sampling procedure to monitor the number of cracked tiles in a batch has n=50 and c=10. Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
You want to order T-shirts for your organization. The price is $15 for each T-shirt and $10 for shipping. Write an expression for the amount of money this will cost you.
Example of Sets in applicable areas such as (market research, politics, medicine, etc.). For example, a college student may be in a particular category in a set depending on degree program:
stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book.
Statistical analysis process - answering the research question of interest by drawing a conclusion about the population through the data collected in the sample.
Cantor's Diagonal Argument, Here we present Cantor's diagonal argument, which proves that the cardinality of the power set 2^S
Problem solving on population mean
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
Determine the amount of agricultural products consumed in the production of $100 million worth of manufactured goods.
Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how many different combinations of six CD's can he put in the player?
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