P(X<5) P(X < 4) P(X > 5) P(X > 4) P(X > 0) P(X < 0) [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] [Choose ]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
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, σ)=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(ª <Z<b) = normalcdf(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 deviaiton.
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(8,2) 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, σ)=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(ª <Z<b) = normalcdf(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 deviaiton. 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(8,2) match the probabilities below:
P(X<5)
P(X < 4)
P(X > 5)
P(X > 4)
P(X > 0)
P(X < 0)
[Choose ]
[Choose ]
[Choose ]
[Choose ]
[Choose ]
[Choose ]
Transcribed Image Text:P(X<5) P(X < 4) P(X > 5) P(X > 4) P(X > 0) P(X < 0) [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] [Choose ]
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