Exam 11: Probability and Statistics

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The Dean's Office keeps tracks of student complaints received each week. The probability distribution for complaints can be represented as a table as shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints. The Dean's Office keeps tracks of student complaints received each week. The probability distribution for complaints can be represented as a table as shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.    -What is the probability that they receive less than 3 complaints in a week? -What is the probability that they receive less than 3 complaints in a week?

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Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table. Commute Length Number af Observations commute time <10 minutes 1 10\leq commute time <20 minutes 2 20\leq commute time <30 minutes 4 30\leq commute time <40 minutes 9 40\leq commute time <50 minutes 4 -What is the cumulative probability for the three shortest commute categories?

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Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table. Commute Length Number af Observations commute time <10 minutes 1 10\leq commute time <20 minutes 2 20\leq commute time <30 minutes 4 30\leq commute time <40 minutes 9 40\leq commute time <50 minutes 4 -What kind of probability is demonstrated if Mr. Lane is asked to predict the duration of his next commute?

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Conditional probabilities are shown in Venn diagrams.

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A fair die is rolled 8 times. What is the probability that an even number (2, 4, or 6) will occur between 2 and 4 times?

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The weight of a loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is more than 22.25 oz?

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Two psychology majors, in two different sections of Clinical Psychology, were comparing test scores. The following gives the students' scores, class mean, and standard deviation for each section: Section 1 Section 2 Student score 84 75 Mean 75 60 Standard deviation 7 8 -Which student scored better compared to the rest of their section?

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Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category. Administrative (AD) 110 10 Salaried staff (SS) 30 50 Hourly staff (HS) 60 40 -If an employee is selected at random, what is the probability that the employee is female given that the employee is a salaried staff member?

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A conditional probability is the probability that an event occurs given that another event has already occurred.

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Under the normal curve, the area between z = 2 and z = -2 includes ________ of the values.

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What are the differences between deterministic and probabilistic techniques?

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A binomial probability distribution indicates the probability of r successes in n trials.

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