8 Brandt Data Solutions is a retail computer store that sell

8.     Brandt Data Solutions is a retail computer store that sells network cables in retail lengths of 3, 5, 10 and 25 feet. From past records they know that the quantity of sales follows the following probability distribution.

x

3

5

10

25

P(X = x)

0.1

0.2

0.5

0.2

What is the chance that a randomly selected cable is at most 10 feet long?

9.     If X has a continuous uniform distribution on the interval (50, 100), then what is f(150)?

10. Can a continuous uniform distribution have X values that are negative numbers?

Solution

What is the chance that a randomly selected cable is at most 10 feet long? 0.1 + 0.2 + 0.5 = 0.8

9. f(150) = 0.00 because 150 is outside of the interval and never happens.

10. Yes.