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Normal Probability Distribution The function f(x) = 1 글 O√√27 is called the normal probability density function with the mean and standard deviation o. The number tells where the distribution is centered, and o measures the "scatter" around the mean. From the theory of probability, it is known that [ f(x)dx=1. 88 In what follows, let u=0 and o=1. A) Draw the graph of f. Find the intervals on which the fis increasing, the intervals on which fis decreasing, and any local extreme values and where they occur.

Normal Probability Distribution The function f(x) = 1 글 O√√27 is called the normal probability density function with the mean and standard deviation o. The number tells where the distribution is centered, and o measures the "scatter" around the mean. From the theory of probability, it is known that [ f(x)dx=1. 88 In what follows, let u=0 and o=1. A) Draw the graph of f. Find the intervals on which the fis increasing, the intervals on which fis decreasing, and any local extreme values and where they occur.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Normal Probability Distribution The function f(x) = 1 2 (X-A² O√√2T is called the normal probability density function with the mean and standard deviation o. The number tells where the distribution is centered, and measures the "scatter" around the mean. From the theory of probability, it is known that [ f(x)dx=1. -00 In what follows, let u=0 and o=1. A) Draw the graph of f. Find the intervals on which the fis increasing, the intervals on which fis decreasing, and any local extreme values and where they occur.
Transcribed Image Text:Normal Probability Distribution The function f(x) = 1 2 (X-A² O√√2T is called the normal probability density function with the mean and standard deviation o. The number tells where the distribution is centered, and measures the "scatter" around the mean. From the theory of probability, it is known that [ f(x)dx=1. -00 In what follows, let u=0 and o=1. A) Draw the graph of f. Find the intervals on which the fis increasing, the intervals on which fis decreasing, and any local extreme values and where they occur.
B) Use your graphing calculator or an on-line CAS program to evaluate. In for n=1, 2 and 3. C) Give a convincing argument that U f(x)dx j f(x)dx=1 m Hint: Show that b 0< f(x) <e2 for x>1, and for b>1, Sex¹²2dx →0 as b→∞.
Transcribed Image Text:B) Use your graphing calculator or an on-line CAS program to evaluate. In for n=1, 2 and 3. C) Give a convincing argument that U f(x)dx j f(x)dx=1 m Hint: Show that b 0< f(x) <e2 for x>1, and for b>1, Sex¹²2dx →0 as b→∞.
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