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For the distribution N(9,3) match the probabilities below: P(X < 8) P(X> 8) P(X < 11) [Choose ] [Choose ] 0.6306 0.2525

For the distribution N(9,3) match the probabilities below: P(X < 8) P(X> 8) P(X < 11) [Choose ] [Choose ] 0.6306 0.2525

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For the distribution N(9,3) match the probabilities below: P(X < 8) P(X> 8) P(X < 11) P(X> 11) P(X < 13) P(X < 7) [Choose ] [Choose ] 0.6306 0.2525 0.9087 0.2524 0.7475 0.3694 [Choose ]
Transcribed Image Text:For the distribution N(9,3) match the probabilities below: P(X < 8) P(X> 8) P(X < 11) P(X> 11) P(X < 13) P(X < 7) [Choose ] [Choose ] 0.6306 0.2525 0.9087 0.2524 0.7475 0.3694 [Choose ]
When working on a normal distribution other than the standard normal distribution you need to either first convert to the z-scores and then find probabilities using the standard normal distribution (N(0,1)) OR when using technology you can input the mean and standard deviation. P (a < X < b) = normalcdf(a,b,μ, o)=normalcdf(staring data value, ending data value, mean, standard deviation) to find the probability given the interval of data values. This is equal to P(<Z<b-μ) = normalcdf(- -)-normalcdf(smaller z-score, larger z-score) For finding the data value given the area you can use invNorm. Again you either need to convert the z-score back to the data value OR tell the calculator the mean and standard deviation. invNorm(area to the left, mean, standard deviation) = data value =X invNorm(area to the left) = Z = Z-score. Then X = μ + Z. o For the distribution N(9,3) match the probabilities below:
Transcribed Image Text:When working on a normal distribution other than the standard normal distribution you need to either first convert to the z-scores and then find probabilities using the standard normal distribution (N(0,1)) OR when using technology you can input the mean and standard deviation. P (a < X < b) = normalcdf(a,b,μ, o)=normalcdf(staring data value, ending data value, mean, standard deviation) to find the probability given the interval of data values. This is equal to P(<Z<b-μ) = normalcdf(- -)-normalcdf(smaller z-score, larger z-score) For finding the data value given the area you can use invNorm. Again you either need to convert the z-score back to the data value OR tell the calculator the mean and standard deviation. invNorm(area to the left, mean, standard deviation) = data value =X invNorm(area to the left) = Z = Z-score. Then X = μ + Z. o For the distribution N(9,3) match the probabilities below:
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