STAB22H3 Lecture Notes - Lecture 21: Continuity Correction, Standard Deviation

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20 Nov 2015
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STAB22H3 Full Course Notes
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Binomial table: ex: there are 20 multiple-choice questions on an exam, each having response a, b, c, de and e. each question is worth 5 points. And only one response per question is correct. Suppose that a student guesses the answer to question and her guesses from question to question are independent. It is the student needs at least 40 points to pass the test. What is the probability the student will pass the test: x = # of correct answers, p = 1 /5 = 0. 2, x ~ b (20,0. 2) . P (x>= 8) = 0. 0322, adding the entrie 8 ~ 20 in the appropriate of the binomial table: ans. Picture taken from lecture powerpoint: how does the shape depend on p, p < 0. 5, skewed right, p > 0. 5 = skewed left, p = 0. 5 , symmetric, what happens to the shape as n increases, shape becomes normal.

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