Exam 4: Probability

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Provide an appropriate response. -Compare the relative frequency formula for finding probabilities to the classical formula for finding probabilities. How are the two formulas similar and how are they different? What special requirements does the classical approach have?

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From the information provided, create the sample space of possible outcomes -In a certain class of students, there are 12 boys from Wilmette, 3 girls from Winnetka, 8 girls from Wilmette, 4 boys from Glencoe, 3 boys from Winnetka and 9 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?

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Provide an appropriate response. -What important question must you answer before computing an "and" probability? How does the answer influence your computation?

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The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 399 69 79 547 Women 397 85 60 542 Total 796 154 139 1089 If one of the 1089 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker.

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Evaluate the expression. - 10C2{ } _ { 10 } \mathrm { C } _ { 2 }

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Find the indicated probability -Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years.

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Find the indicated probability -On a multiple choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess?

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Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the simulation, then estimate the probability based on its results. -The probability of getting exactly three girls in a family of five children.

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Find the indicated probability -Is it "unusual" to get 9 when a pair of dice is rolled?

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Find the indicated probability. -A class has 11 students who are to be assigned seating by lot. What is the probability that the students will be arranged in order from shortest to tallest? (Assume that no two students are the same height.)

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The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 344 61 77 482 Women 374 74 62 510 Total 718 135 139 992 If one of the 992 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth.

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Solve the problem. -How many ways can an IRS auditor select 4 of 10 tax returns for an audit?

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An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.

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Find the indicated probability. -A: A bird lands on your head. B: The bird lays an egg.

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Find the indicated probability -A sample of 4 different calculators is randomly selected from a group containing 42 that are defective and 27 that have no defects. What is the probability that all four of the calculators selected are defective?

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Solve the problem. -A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output. 0 1 0 2 0 0 0 1 0 3 2 0 0 0 0 2 1 2 3 1 2 0 2 0 3 0 0 2 1 0 1 Estimate the probability that sales will rise at least moderately.

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Determine whether the events are mutually exclusive. -The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. Waiting Time Number of (minutes) Customers 0-3 13 4-7 10 8-11 11 12-15 5 16-19 4 20-23 2 24-27 3 If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes?

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Express the indicated degree of likelihood as a probability value. -"Your mother could not have died two years before you were born."

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Answer the question. -"You have one chance in ten of winning the race."

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A study conducted at a certain college shows that 53% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

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