Paste your code for Problems 9-13 here. Information for Problems 14-15: Suppose

Question

Paste your code for Problems 9-13 here. Information for Problems 14-15: Suppose a discrete uniformly distributed random variable has the following values: 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60. 14. What is the probability for each value of the random variable? You can figure this out because it is discrete and uniform. 15. Calculate the mean or expected value of the random variable using the formula for a uniform random variable. Try using the general formula. You should get the same answer.

Explanation / Answer

14. Number of values = 10

Since this is a discrete uniform distribution,

P(Each value) = 1/10 = 0.10

15. Mean using uniform distribution formula:

a = 15, b = 60

Mean = (15 + 60)/2 = 37.5

Mean using general formula:

Mean = (15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 + 55 + 60)/10 = 375/10 = 37.5

So both the methods are giving same answer for mean.

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