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G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2 < |G|. Prove that there is a non-identity element x in G s.t. x commutes with both a and b.
Probability on normal distribution
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
Find the probability of getting less than six correct answers.
Use the circle graph to solve the problem. A survey of the 8263 vehicles on the campus of State University yielded the following circle graph.
Relationship between the variables
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
Compute the estimate for the standard error of the difference between two proportions.
Solving probability problems based on empirical rule
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
One mean z test
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