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Let U be a uniform random variable on the interval (-pi/2, pi/2). Let X=sinU. Find the probability density function of X and calculate E(X) and var(X).
Find the center of mass of the lamina that has the given shape and density. Be sure to enter the ordered pair as (xcm,ycm) where both points are rounded to the tenths place and the parentheses included.
Choose ten of your friends, and make a graph where the edges represent two friends being Facebook friends. (Do not include yourself in the graph). Order your friends alphabetically, and label the vertices v1, v2, ..., v10 respectively.
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
The tangent line equation
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
Evaluate the matrix of transformation
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
How do you write a system of linear equations in two variables? ??Explain this in words and by using mathematical notation in an equation.
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.
Present this article to the class and explain why you chose the example. Include the URL for the site you used. Do not copy the text in the site verbatim. You should summarize your findings.
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