MAT 119 7.2 Definition of Probability

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TUTORIAL WITH WORK SHOWN FOR THE FOLLOWING QUESTIONS

  1. 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.)

  2. 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

  1. 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

  1. 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.)

  2. 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?

  3. 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

  1. 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

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