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Question: The percentage of people (to the nearest 10) responding to an advertisement is a random variable with the following probability distribution:

x(%)         P(x)

0              0.10

10            0.20

20            0.35

30            0.20

40            0.10

50            0.05

a. Show that P(x) is a probability distribution.

b. Find the cumulative distribution function.

c. Find the probability that more than 20% will respond to the ad.

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