# Normal Distribution

Feb 3rd, 2012
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10 Homework problems on Normal distribution, Head shot on 1. When Population Proportion is given 2. Binomial approximation to normal 3. Sample size is given 4. To find Less than, greater than, between

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Q1.For a normal distribution curve with a mean of 19 and a standard deviation of 6, which range of the variable defines an area under the curve corresponding to a probability of approximately 68%?AnsNormal DistributionMean ( u ) =19Standard Deviation ( sd )=6Normal Distribution = Z= X- u / sd ~ N(0,1)To find P(a < = Z < = b) = F(b) - F(a)P(X < 13) = (13-19)/6 = -6/6 = -1 = P ( Z <-1) From Standard Normal Table = 0.15866P(X < 25) = (25-19)/6 = 6/6 = 1 = P ( Z <1) From Standard Normal Table = 0.84134P(13 < X < 25) = 0.84134-0.15866 = 0.6827 ~ 68%Q2.What is the

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