MAT 119 7.2 Definition of Probability
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TUTORIAL WITH WORK SHOWN FOR THE FOLLOWING QUESTIONS
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The percentage of the general population that has each blood type is shown in the table below. Determine the probability distribution associated with these data. (Enter your answers to two decimal places.)
- Suppose the following is a breakdown of a total of 18,527 transportation fatalities that occurred in a single year.
Mode of Transportation Car Train Bicycle Plane
Number of Fatalities 16,470 825 697 535
What is the probability that a victim randomly selected from this list of transportation fatalities died in the following events? (Round your answers to three decimal places.)
(a) a car crash or a bicycle accident
(b) a train or a plane accident
- In a survey of 3019 guests, the following question was asked: What is the first thing you do after checking into a hotel room? The results of the survey follow.
Activity Respondents
Adjust the thermostat 1022
Turn on the TV 735
Unpack 636
Check out the free toiletries 216
Plug in rechargeable electronics 90
Find the gym 20
Other 300
What is the probability that a person selected at random from the list of guests surveyed would, as a first activity, do the following? (Round your answers to three decimal places.)
(a) adjust the thermostat or plug in rechargeable electronics
(b) unpack or find the gym
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The accompanying data were obtained from a survey of 1500 Americans who were asked: How safe are American-made consumer products? Determine the empirical probability distribution associated with these data. (Round your answers to three decimal places.)
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If a ball is selected at random from an urn containing six red balls, seven white balls, and seven blue balls, what is the probability that it will be a white ball?
- A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.)
(a) the sum of the numbers shown uppermost is less than 7
(b) at least one 5 is cast
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In a survey, 800 homeowners were asked about their expectations regarding the value of their home in the next few years; the results of the survey are summarized as follows.
Expectations Homeowners
Decrease 45
Stay the same 153
Increase less than 5% 232
Increase 5-10% 230
Increase more than 10% 140
If a homeowner in the survey is chosen at random, what is the probability that he or she expected his or her home to do the following? (Round your answers to three decimal places.)
(a) stay the same or decrease in value in the next few years
(b) increase 5% or more in value in the next few years