Question

Given a normal distribution with μ=53 and σ=3​.

a. What is the probability that X>49​? ​P(X>49​)=_____ (Round to four decimal places as​ needed.)

b. What is the probability thatX<47​? ​P(X<47​)equals=_____ ​(Round to four decimal places as​ needed.)

c. For this​ distribution, 7​% of the values are less than what​ X-value? X=_____ ​(Round to the nearest integer as​ needed.)

d. Between what two​ X-values (symmetrically distributed around the​ mean) are 80​% of the​ values? For this​ distribution, 80​% of the values are between X=_____ and X=_____ ​(Round to the nearest integer as​ needed.)

Answer 1