mt3.a key

# mt3.a key - Statistics 13A Spring 2010 Midterm III Version...

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Unformatted text preview: Statistics 13A, Spring 2010, Midterm III Version A Name: ID: Instructions: • 50 minutes, closed book midterm • one letter-sized (double-sided) “cheat-sheet”, hand held calculator and scrap paper are allowed • 20 multiple choice problems, 5 points each • put your name & ID on this midterm and scantron • hand in both this midterm and scantron (the midterm will be used as a proof of your presence in the un- likely event of missing scantron) • grading is based on scantron which will not be re- turned to you • this is Version A, please mark the corresponding circle on the scantran • good luck! Midterm begins here... 1. Which of the following statements is true with re- gards to the probability density functions of continu- ous random variables ? (choose the most appropriate answer) (a) They are symmetrical (b) They are skewed to the left (c) They are skewed to the right (d) The area under the curve is one (e) Their values are always in between 0 and 1 answer: d 2. Let X be a continuous random variable and let a and b be two constants with a < b . Which of the follow- ing statements is false ? (choose the most appropri- ate answer) (a) The probability that X assumes a value in the interval ( a , b ) is the area under the probability density function between a and b (b) P ( X = a or b ) = (c) P ( X ≤ b ) = P ( X < b ) (d) P ( a < X < b ) = P ( X ≤ b )- P ( X ≤ a ) (e) None of the above answer: e 3. If Z is a standard normal random variable, then what is P ( Z ≥ - . 67 ) ? (choose the closest answer) (a) 0.15 (b) 0.25 (c) 0.50 (d) 0.65 (e) 0.75 answer: e 4. If the random variable X has a normal distribution with mean μ and standard deviation σ , then P ( μ- σ < X < μ + 2 σ ) is (choose the closest answer) (a) 0.002 (b) 0.159 (c) 0.819 (d) 0.841 (e) 0.977(a) 0....
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mt3.a key - Statistics 13A Spring 2010 Midterm III Version...

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