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

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 ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F649cc619-0acd-4b83-8463-5b092fdac9da%2F600c7969-385c-4dcb-937c-db0da574536d%2Fbjtxxi9_processed.png&w=3840&q=75)
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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