# Question: The percentage of people to the nearest 10 responding to

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.

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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