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The february 15, 2001 exam for mat/sta 325 statistics course. The exam includes questions on calculating means and standard deviations, probability theory, and independent events. Students are required to solve problems related to data analysis, foul shots, and purchasing defective items.
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MAT/STA 325 Exam 1 February 15, 2001 Prof. Thistleton
(a) Calculate the mean of the data set.
(b) Calculate the standard deviation of the data set.
(c) Express the data point 4 in standard units.
Suppose you have a distribution with mean μ = 20 and standard deviation σ = 5. What can you say about the proportion of data
(a) between 5 and 35?
(b) above 40?
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FIRST SECOND
I
II III IV
(a) State in words what each of the regions I, II, III, and IV represents.
(b) Calculate the probability of each of the regions I, II, III, and IV.
(c) What is the probability that you are successful on the second shot given that you are successful on the first shot?
(a) What is the probability of that you will obtain 0 defectives?
(b) What is the probability of that you will obtain 1 defectives?
(c) What is the probability of that you will obtain 2 defectives?
(d) What is the probability of that you will obtain 3 defectives?
(e) What is the probability of that you will obtain 4 defectives?
(a) 0 Hearts.
(b) 1 Heart.
(c) 2 Hearts.
(d) 3 Hearts.
(e) More that 3 Hearts.
(f) You will buy 4 lottery tickets. Each ticket is either a Win or a Loss. Draw a tree diagram showing all possible outcomes of this experiment.