6 The random variable, x, has a normal distribution. How many standard deviations above the mean must the point P be placed if the tail-end is to represent (a) 10% (b) 5% (c) 1% of the total area? (See Figure 29.20.) N(x) Figure 29.20 Graph for Question 6. 7 Consider Figure 29.21. The two tail-ends have equal area. How many standard deviations from the mean must A and B be placed if the tail-ends are (b) 5% (a) 10% (c) 1% of the total area? N(x) B Figure 29.21 Graph for Question 7.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6 The random variable, x, has a normal distribution.
How many standard deviations above the mean must
the point P be placed if the tail-end is to represent
(a) 10%
(b) 5%
(c) 1%
of the total area? (See Figure 29.20.)
N(x).
Figure 29.20
Graph for Question 6.
7 Consider Figure 29.21. The two tail-ends have equal
area. How many standard deviations from the mean
must A and B be placed if the tail-ends are
(b) 5%
of the total area?
(a) 10%
(c) 1%
N(x)4
A
B
Figure 29.21
Graph for Question 7.
Transcribed Image Text:6 The random variable, x, has a normal distribution. How many standard deviations above the mean must the point P be placed if the tail-end is to represent (a) 10% (b) 5% (c) 1% of the total area? (See Figure 29.20.) N(x). Figure 29.20 Graph for Question 6. 7 Consider Figure 29.21. The two tail-ends have equal area. How many standard deviations from the mean must A and B be placed if the tail-ends are (b) 5% of the total area? (a) 10% (c) 1% N(x)4 A B Figure 29.21 Graph for Question 7.
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