math prob
Steven king
6.docx1. Let be given by its distribution function , such that
if
, if 1
, if 2
Find ,,
2. The density function of random variable X is given by the graph below.
a) Find b) Find
3. The density function of a normal random variable is given by.
Find its math expectation and variance
4. A random variable X is normally distributed with the mean 2. The probability that X is between 0 and 2 is 0.35. Find the probability that X is less than 4.
5. A random variable X is normally distributed with the mean 7 and standard deviation 5. Find the probability that X is between 1 and 11. (Use both the Table from Attachment 4 and one of the utilities from Module 6, and compare the results).
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