Given a normal distribution with μ=100 and σ=25​, and given you select a sample of n=25​, complete parts​ (a) through​ (d). Part 1 a. What is the probability that X is less than 93​? ​P(X<93​)=enter your response here ​(Type an integer or decimal rounded to four decimal places as​ needed.) Part 2 b. What is the probability that X is between 93 and 95.5​? ​ P(93101.2​)=enter your response here ​(Type an integer or decimal rounded

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Given a normal distribution with μ=100 and σ=25​, and given you select a sample of n=25​, complete parts​ (a) through​ (d).

Part 1 a. What is the probability that X is less than 93​?

​P(X<93​)=enter your response here ​(Type an integer or decimal rounded to four decimal places as​ needed.)

Part 2 b. What is the probability that X is between 93 and 95.5​? ​

P(93<X<95.5​)=enter your response here ​(Type an integer or decimal rounded to four decimal places as​ needed.)

Part 3 c. What is the probability that X is above 101.2​? ​

P(X>101.2​)=enter your response here ​(Type an integer or decimal rounded to four decimal places as​ needed.)

Part 4 d. There is a 65​% chance that X is above what​ value?

X=enter your response here ​(Type an integer or decimal rounded to two decimal places as​ needed.)

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