Stat400Lec16(Ch5.7) - STAT 400(Chapter 5.7 Spring 2012...

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STAT 400 (Chapter 5.7) Spring 2012 Normal Approximation to Binomial Distribution: Normal Binomial mean n p standard deviation   1 p p n Binomial, n = 25, p = 0.50. Normal, = 25 0.50 = 12.5, 2 = 25 0.50 0.50 = 6.25. = 2.5. Binomial, n = 25, p = 0.10. Normal, = 25 0.10 = 2.5, 2 = 25 0.10 0.90 = 2.25. = 1.5. 5 p n   5 1 p n   0 1 3 p p n p n   n p p n p n 1 3 1. A fair coin is tossed 25 times. Let X denote the number of H's. a) Find the probability P(X = 17). b) Use Normal approximation to find the probability P(X = 17). = n p =   1 p p n
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c) Find the probability P(X 11). d) Use Normal approximation to find the probability P(X 11). e) Find the probability P(10 X 14). f) Use Normal approximation to find the probability P(10 X 14). Binomial,
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Stat400Lec16(Ch5.7) - STAT 400(Chapter 5.7 Spring 2012...

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