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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(

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(

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
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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) = normalcdf(ª,b)=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(10,2) 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) = normalcdf(ª,b)=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(10,2) match the probabilities below:
P(X <a) = 0.1 P(X > a) = 0.1 [Choose ] [Choose ] a = 7.44 a = 12.56 6.71
Transcribed Image Text:P(X <a) = 0.1 P(X > a) = 0.1 [Choose ] [Choose ] a = 7.44 a = 12.56 6.71
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