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Q1: Find ten consecutive composite numbers.
Q2: Find the prime factors of 1147 and of 1716. Are there any common factors?
Q3: Consider the number: m=(2^n)-1 . Find the values of m for a few values of n > 1.
i) Which values of n make m a prime number?
ii) Based on the above experiment, what condition on n must we have so that m is prime?
The time a cashier spends processing individual customer's order are independent random variables with mean 2.5 minute and standard deviation of 2.
A defective picture tube was discovered in the latest shipment. What is the probability that it came from Tyson Wholesale?
Kyle averages 7 finished accounts a day. His standard deviation is 2 account per day and we wish the probability that Kyle will finish day with more than 8 finished accounts. Probability will be?
Explain the assignment model and how it is similar to a transportation problem. Give a real-world example of an assignment model to describe what is transported where.
How could your answer in question (a) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain briefly.
The production line that packages boxes of raisins at a snack food manufacturer will be considered operating properly if the average weight of the boxes of raisin is 3.5 ounces with a standard deviation of 0.3 ounces.
An automobile assembly line operation has a scheduled mean completion time,u , of 12.6 minutes. The standard deviation of completion times is 1.8 minutes.
An economist found that a random sample of 42 high school teachers had an average annual salary of $56,490. A previous study showed that the population standard deviation is $4150. Find the 99% confidence interval for µ, the average annual salary ..
Modify (change) your sample size to 18600. Construct a new 95% Confidence Interval.
How does the bell-shaped curve for the sampling distribution of sample means for samples of size n = 100 compare to the bell-shaped curve for sampling distribution of sample means for samples of size n = 60.
Let X1,... x30 be independent Poisson random variables having mean 1. (a) Use Chebyshev's inequality to find a lower bound on the probability.
A certain component is critical to the operation of medical device and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of these components must..
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