# 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.

## Relevant Questions

The daily exchange rate of one dollar in euros during the first three months of 2007 can be inferred to have the following distribution. X P(x) 0.73 ... 0.05 0.74 ... 0.10 0.75 ... 0.25 0.76 ... 0.40 0.77 ... 0.15 0.78 ...An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability of getting an offer. a. What is the probability that she will have at least three ...A graduating student keeps applying for jobs until she gets an offer. The probability of getting an offer at any trial is 0.35. a. What is the expected number of applications? What is the variance? b. If she has enough time ...Laptop computers produced by a company have an average life of 38.36 months. Assume that the life of a computer is exponentially distributed (which is a good assumption). a. What is the probability that a computer will fail ...An article published in Business Week says that according to a survey by a leading organization 45% of managers change jobs for intellectual challenge, 35% for pay, and 20% for long-term impact on career. If nine managers ...Post your question