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.