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Material Type: Exam; Class: Elementary Statistical Methods I; Subject: Applied Statistics; University: Bowling Green State University; Term: Spring 2007;
Typology: Exams
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Prize: x $0 $1 $2 $10 $50 $ Probability: p(x) 0.770 0.150 0.050 0.025 0.004 0.
a. If you buy one ticket, what is the probability that you will win a prize?
Answer _____________
b. If you buy one ticket, what is the probability that you will win no more than $10?
Answer _____________
c. If you buy one ticket, what is your expected winning prize amount?
Answer _____________
d. What is the standard deviation of the winning prize amount?
Answer _____________
e. If each ticket costs $1 and you buy one ticket, what is your expected profit?
Answer _____________
a. Construct a probability tree. Be sure to list the simple events and their corresponding probabilities.
b. What is the probability that Imso will not play baseball after high school?
Answer _____________
c. What is the probability that Imso will not play professional baseball?
Answer _____________
d. Suppose that a professional baseball player is randomly selected. What is the probability that he did not play college baseball?
Answer _____________
a. For what percentage of days did at least 725 vehicles but no more than 800 cars use the intersection?
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b. On approximately how many days last year did no more than 725 vehicles use this intersection (assuming there were 365 days last year).
Answer _____________
a.. Based on the forecast, what is the expected total cost of the DVDs produced for the quarter?
Answer _____________
b. What is the uncertainty involved in this forecast of the total cost of the DVDs produced for the quarter, expressed as a variance?
Answer _____________
a. What is the probability that a randomly selected hired applicant earned a grade of ‘B’ or better in STAT 211?
Answer _____________
b. What is the probability that a randomly selected hired applicant did not earn a grade of ‘B’ or better in STAT 211?
Answer _____________
a. Find the probability that a randomly selected CD will have at least one of these defects.
Answer _____________
b. What is the probability that a randomly selected CD will have neither of these defects?
Answer _____________
c. Suppose that a randomly selected CD has a defect due to human error. Knowing this, what is the probability that the CD has a defect due to a problem with materials?
Answer _____________
________ Descriptive statistics ________ Parameter ________ Sample
Definitions:
(a) a descriptive measure of a population
(b) the crossbeam used to secure a widget to a gersnaffle
(c) a body of methods used to draw conclusions about characteristics of populations based on sample data
(d) methods of organizing, summarizing, and presenting data in a convenient and informative way
(e) a descriptive measure of a sample
(f) a set of data drawn from the population
(g) the group of all items of interest to a statistics practitioner
The time in seconds it takes for a person’s heart to beat 20 times after running up three flights of stairs.
a. discrete random variable b. continuous random variable
a. TRUE b. FALSE
a. If we replace a toothpaste in the sample that costs $1.50 with another toothpaste that costs $2.50, what would happen to the population mean price of toothpaste?
(i) increase (ii) decrease (iii) stay the same (iv) Not enough information given.
b. If we replace a toothpaste in the sample that costs $1.50 with another toothpaste that costs $2.50, what would happen to the sample variance of the prices?
(i) increase (ii) decrease (iii) stay the same (iv) Not enough information given.
Political affiliation (e.g., Republican, Democrat, Libertarian, Independent, Other)
a. qualitative b. quantitative