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Given a normal distribution with = 50 = 4 , and given you select a sample of n=100, complete parts (a) through (d). a. What is the probability that X...

Given a normal distribution with μ=50 σ=4, and given you select a sample of n=100​, complete parts​ (a) through​ (d).

a. What is the probability that X is less than 49​?

​P(X<49​)=___________

​(Type a integer or decimal rounded to four decimal places as​ needed.)

b. What is the probability that X is between 49 and 49.5?

​P(49<X<49.5​)=_____________

​( Type a integer or decimal rounded to four decimal places as​ needed.)

c. What is the probability that X is above 50.5?

​P(X>50.5)equals=_____________

​( Type a integer or decimal rounded to four decimal places as​ needed.)

d. There is a 35​% chance that X is above what​ value?

X=_______________

​( Type a integer or decimal rounded to two decimal places as​ needed.)

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