Given a normal distribution with μ=101 and σ=15​, and given you select a sample of n=9​, complete parts​ (a) through​ (d). a. What is the probability that X is less than 90​?   ​P(X<90​)= ​(Type an integer or decimal rounded to four decimal places as​ needed.) b. What is the probability that X is between 90 and 92.5​?   ​P(90102.2​)= ​(Type an integer or decimal rounded to four decimal places as​ needed.) d. There is a 69​% chance that X is above what​ value?   X= ​(Type an integer or decimal rounded to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given a normal distribution with
μ=101
and
σ=15​,
and given you select a sample of
n=9​,
complete parts​ (a) through​ (d).
a. What is the probability that
X
is less than
90​?
 
​P(X<90​)=
​(Type an integer or decimal rounded to four decimal places as​ needed.)
b. What is the probability that
X
is between
90
and
92.5​?
 
​P(90<X<92.5​)=
​(Type an integer or decimal rounded to four decimal places as​ needed.)
c. What is the probability that
X
is above
102.2​?
 
​P(X>102.2​)=
​(Type an integer or decimal rounded to four decimal places as​ needed.)
d. There is a
69​%
chance that
X
is above what​ value?
 
X=
​(Type an integer or decimal rounded to two decimal places as​ needed.)
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