Exam 11: Probability and Statistics
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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 average commute time for HOV Lane?
(Essay)
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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 male and salaried staff?
(Short Answer)
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A study of a company's practice regarding the payment of invoices revealed that on the average an invoice was paid 20 days after it was received. The standard deviation equaled 5 days. Assuming that the distribution is normal, what percent of the invoices is paid within 15 days of receipt?
(Short Answer)
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The owner of a seafood market determined that the average weight for a crab is 1.6 pounds with a standard deviation of 0.4 pound. Assuming the weights of crabs are normally distributed, the probability that a randomly selected crab will weigh less than 1.2 pounds is ________.
(Short Answer)
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The events in an experiment are mutually exclusive if only one can occur at a time.
(True/False)
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The events in an experiment are ________ if only one can occur at a time.
(Multiple Choice)
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For a typical normally distributed random variable, the standard deviation is equal to the variance.
(True/False)
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Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will not be accepted at either university?
(Multiple Choice)
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If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.
(Multiple Choice)
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The expected value of a random variable is computed by multiplying the sum of each possible value of the variable by the probability of that random variable.
(True/False)
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A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?
(Short Answer)
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Objective probabilities that are stated after the outcomes of an event have been observed are relative frequencies.
(True/False)
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Altered marginal probability of an event based on additional information is a ________ probability.
(Short Answer)
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A Venn diagram depicting two circles that do not overlap or touch in any way represents events that are ________.
(Short Answer)
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An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as the table shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.
0 1 2 3 4 5 6 p() .10 .15 .18 .20 .20 .10 .07
The expected value of the standard normal distribution is equal to:
(Multiple Choice)
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Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y.
-What is the probability that Jim will not be accepted at either university?
(Short Answer)
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________ probability is an estimate based on personal belief, experience, or knowledge of a situation.
(Multiple Choice)
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A professor would like to assign grades such that 5% of students receive As. If the exam average is 62 with a standard deviation of 13, what grade should be the cutoff for an A? (Round your answer.)
(Multiple Choice)
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Probability trees are used only to compute conditional probabilities.
(True/False)
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