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If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
I know that for us to have a right triangle, the two points should form the diameter of the circle. What I have done is that I divided the problem into two sections.
Section I: n even
Section II: n odd
When n is even it is easier to find the probability but I can't find the right answer (both for n= even and n= odd).
A deck of cards contains 52 cards, 13 in each of four suits (hearts, diamonds, clubs and spades). Suppose you have been dealt five cards without replacement from a randomly shuffled deck of cards. Find the probability that al five cards are hearts..
In a two-way ANOVA, there are 4 levels for factor A, 5 levels for factor B, and 3 observations for each combination of factor A and factor B levels. The number of treatments in this experiment equals:
In an experiment on a new drug to determine the most effective dosage and method of administration, subjects were randomly assigned to either 5, 10, 15, or 20 mg of the active drug.
a random sample of homeowners from dallas and houston was asked to identify the primary source of heat for their homes.
Compare a three-month moving average forecast with an exponential smoothing fore-cast for a = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy?
clarkson university surveyed alumni to learn more about what they think of clarkson. one part of the survey asked
How to get original X variable in terms of the variance-covariance matrix for the regression coefficients pertaining to the transformed x variable? Y^=b0+b1x+b11x^2, x=X-mean(X), we get b0'=b0-b1mean(X)+b11(X^2),b1'=b1-2b1mean(X), b11'=b11
you have constructed a standardized least-squares regression line to explore how hours worked and stress influence
With a mean of $70,000 and a standard deviation of $20,000. A loan application is received this morning. What is the probability: a. The amount requested is $80,000 or more?
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
You are asked to estimate the chance that the sum will be positive. Can you do it if you are also told the average and SD of the numbers in the box, but are not told the numbers themselves?
A survey covering 0 different suburbs in Dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation of $0.053. What critical value shoiuld be used to test the claim using a = 0.01?
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