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midterm 2005

# midterm 2005 - S A S 116:Midterm Examination TT July 20th...

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STATS 1 16: Midterm Examination July 20th, 2005 Show all work. Justify your assertions.

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Question 1 [20 points] An ordinary deck of 52 playing cards is shuffled and dealt. What is the probability that (a) the seventh card dealt is an ace? (b) the first ace occurs on the seventh card dealt?
Question 2 [20 points] Suppose you have probability of hitting a target. Find a numerical expres- sion for the probability of obtaining 5 hits before 3 misses.

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Question 3 [20 points] A dart is thrown randomly at the unit square {(x, y) E R210 5 x 5 1,O 5 y 5 1). Let W be the minimum of the x and y coordinates of the point which the dart hits. (a) Determine the cumulative distribution function of W. (b) Determine a probability density function of

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midterm 2005 - S A S 116:Midterm Examination TT July 20th...

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