Question: Consider the following discrete probability distribution: x | 3 | 6 | 8 | 9 P(x) | .1 | .4 | .3 | .2 a.Graphically

Consider the following discrete probability distribution:

x | 3 | 6 | 8 | 9

P(x) | .1 | .4 | .3 | .2

a.Graphically depict this probability distribution. (Draw a probability histogram.)

b.What is the probability that the random variable is between 4 and 10?

c.What is the probability that the random variable is less than 7?

d.Construct a cumulative probability distribution.

e.Compute , the expected value of . Show your work as on page 62 of the course packet. You can enter the numbers in Excel and use Excel to construct a table.

f.Compute (the variance of ) and (the standard deviation of ).

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