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The percentage of people to the nearest 10 responding to an

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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