# Find the following percentiles for the standard normal ## Problem 30E Chapter 4

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 30E

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. a.? ?91st b.?? th c.? ?75th d.? ?25th e.?? th

Step-by-Step Solution:

Answer : Step 1 of 5 : The claim is to find the percentiles for the standard normal distribution. a) We have to find the z value for 91 st percentile P(Z z ) = 0.91 We have to check standard normal table for the value 0.91 91 lies in 1.3 row and 4th column Therefore, z = 1.34 Hence, P(Z 1.34 ) = 0.91 Step 2 of 5 : b) We have to find the z value for 9th percentile P(Z z ) = 0.09 We have to check standard normal table for the value 0.09 09 lies in -1.3 row and 4th column Therefore, z = -1.34 Hence, P(Z -1.34 ) = 0.09 Step 3 of 5 : c) We have to find the z value for 75th percentile P(Z z ) = 0.75 We have to check standard normal table for the value 0.75 0.75 lies in 0.6 row and 7th column and 0.6th row and 7th column (0.67+0.67) Therefore, z = 2 = 0.675 Hence, P(Z 0.675 ) = 0.75

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321629111

Since the solution to 30E from 4 chapter was answered, more than 755 students have viewed the full step-by-step answer. This full solution covers the following key subjects: appropriate, distribution, Find, Interpolate, normal. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780321629111. The full step-by-step solution to problem: 30E from chapter: 4 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “Find the following percentiles for the standard normal distribution. Interpolate where appropriate. a.? ?91st b.?? th c.? ?75th d.? ?25th e.?? th” is broken down into a number of easy to follow steps, and 22 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9.

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