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1. Consider the experiment, called the birthday problem , where our task is to determine the probability that in a group of people of a certain size there are a least two people who have the same birthday (the same month and day of month). Suppose there is a room with 12 people in it, find the probability that at least two people have the same birthday.
2. Suppose that 6 dice thrown are thrown and the number, N, of spots showing is noted. Then suppose N coins are tossed, what is the expected number of heads? Expected number of heads =
3. The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years. The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer. The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 2% chance of incurring 450 dollar damage, 6% chance of incurring 150 dollar damage, and 12% chance of 150 dollar damage. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value?
knowledge of binomial confidence intervals
A study of college football games shows that the number of holding penalties assessed has a mean of 2.3 penalties per game and a standard deviation of penalties per 1.1 game. What is the probability that, for a sample of 40 college games to be played..
In the overview of this module, we saw how a linear equation can be applicable to the grocery store expenditure. Think about 2 different examples where you can formulate 2 different linear equations. Then, share those examples and linear equations. I..
17). A study was conducted to determine whether big-city and small town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbellsof strangers in living in Newyork city or small towns in the vicini..
Determine the significance of the difference between the groups and determine whether building systems helped reduce new cases of malaria.
Find the standard deviation of the sampling distribution of the sample mean.
1) There are 2 types of graphs that are best to use when graphing two scale variables. Which 2 graphs are these? 2) When graphing a nominal independent variable and a scale dependent variable, you could use a ____________ or a ____________.
What is an interaction? Describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions?
Simple random sampling
A more general exponential reliability model may be defined by R(t)=a^(-bt) where a>1, b>0 and a and b are parameters to be determined. Find the hazard rate function, and show how this model is equivalent to R(t)=e^-(lambda*t).
A clinical trial is conducted comparing a new pain medication for arthritis. Participants are randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes.
Is there evidence to support the company's claim?
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