Reference no: EM13102989
1.
A study of classified advertisements in a local newspaper shows that 204 are help-wanted ads, 520 are real estate ads, and 306 are for other ads.
a. If the newspaper plans to select an ad at random each week to be published free, what is the probability that the ad for a specific will be a help-wanted ad?
b. What method of probability assessment is used to determine the probability in part a?
c. Are the events that a help-wanted ad is chosen and that an ad for other types of products or services is chosen for this promotion on a specific week mutually exclusive? Explain?
2.
You are given the following table:
A B C
D 100 150 50
E 600 150 150
F 300 300 300
a. What is probability of events A?
b. What is probability of events A and B?
c. What is the probability of events B and F?
d. What is the probability of events E given that events A has occured?
e. What is the probability of events A or event F?
3.
The Fortune 500 ranks the 500 largest US corporations. The 1998 list revealed that 30 firms have their headquarters in Ohio. What is the probability that a firm selected at random from the list would have its headquarters in Ohio?
4.
A manager of a gasoline filling station is thinking about a promotions that she hopes will bring more business to the full-service island. She is considering the option that when a customer requests a fill-up, if the pump stops with the dollar amount at $9.99, the customer will get the gasoline free. Previous studies show that 70% of customers pay $10.00 or more when they fill up their gas tanks, so they would not be eligible fir the free gas. What is the probability that a customer will get free gas at this station if the promotion is implemented?
5.
Describe the differences between discrete and continuous random variables, and provide examples of each.
6.
Four possible prizes are being awarded by real estate developer to people who will look at new property. The prizes are being awarded based on a blind drawing with the following probability distribution:
x P(x)
$10 0.8
$20 0.10
$100 0.08
$1000 0.02
a. What is the expected prize award?
b. What is the standard deviation fir the prize award?
c. If one person is allowed to have two chances at the drawing and keep the highest prize, what is the probability that she will leave at least $100?
7.
The seremonte Emergency Medical Department has recorded the number of emergency call received each day for the past 200 days. These data are shown in this frequency distribution.
Calls Numbers of Days
0 22
1 20
2 40
3 55
4 28
5 20
6 5
7 10
Total 200
a. determine the probability distribution based on frequency distribution.
b. What is the mean of the probability distribution?
c. What is the standard deviation of the probability distribution?
d. Compute coefficient of variation
e. Each emergency call requires a team of three individuals to respond. How many employees must Seremonte have so they can respond to at least 75% of emergency calls?
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