Given a normal distribution with μ = 50 and o= 10, find: (a) the area under the curve to the left of x = 34.5; (b) the area under the curve to the right of x = 42.7; = 45.4 and x = 58.6; (c) the area under the curve between x (d) the value of x that has 91% of the curve to its left; (e) Find c, such that P(|X - µ| < c) = 0.8.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Given a normal distribution with μ = 50 and o=
10, find:
(a) the area under the curve to the left of x =
34.5;
(b) the area under the curve to the right of x = 42.7;
= 45.4 and x = 58.6;
(c) the area under the curve between x
(d) the value of x that has 91% of the curve to its left;
(e) Find c, such that P(|X - µ| < c) = 0.8.
Transcribed Image Text:Given a normal distribution with μ = 50 and o= 10, find: (a) the area under the curve to the left of x = 34.5; (b) the area under the curve to the right of x = 42.7; = 45.4 and x = 58.6; (c) the area under the curve between x (d) the value of x that has 91% of the curve to its left; (e) Find c, such that P(|X - µ| < c) = 0.8.
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