Explanation Formula Used: Normal probability density function: The function is f ( x ) = 1 σ 2 π e − ( x − μ ) 2 / 2 σ 2 , σ ≥ 0 . The standard deviation of normal probability density function is σ . Uniform probability density function: The function is f ( x ) = { 1 b − a if a ≤ x ≤ b 0 otherwise The standard deviation of uniform probability density function is σ = 1 12 ( 1.25 − ( 1.25 ) ) . Calculation: The probability density functions are f 1 ( x ) = 1 2 π e − x 2 / 2 and f 2 ( x ) = { 0 .4 if − 1.25 ≤ x ≤ 1.25 0 otherwise . The probability density function f 1 ( x ) = 1 2 π e − x 2 / 2 represents a standard normal distribution and it is observed that the standard deviation of the probability density function f 1 ( x ) = 1 2 π e − x 2 / 2 is 1. The probability density function of f 2 ( x ) = { 0 .4 if − 1.25 ≤ x ≤ 1.25 0 otherwise represents a uniform distribution

14th Edition

ISBN: 9780135961407

Author: Barnett

Publisher: PEARSON CO

See similar textbooks

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

Videos

Question

Chapter 11.4, Problem 33E

To determine

To explain: The standard deviation of the probability density functions from the graph of f1(x) and f2(x).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.4, Problem 32E

Chapter 11.4, Problem 34E

Students have asked these similar questions

Sociobiology and crime.

été + Find the area of the surface generated by revolving the curve x= the interval 0 sys In 7 about the y-axis. in 2 2 -In 7

Find area of the sector

Chapter 11 Solutions

EP CALCULUS F/BUS.,ECON.-BRIEF-ACCESS

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The standard deviation of the probability density functions from the graph of f 1 ( x ) and f 2 ( x ) .

Solution Summary: The author explains the standard deviation of the probability density functions from the graph of f_1(x) and

Concept explainers

Videos

To explain: The standard deviation of the probability density functions from the graph of f1(x) and f2(x).

Want to see the full answer?

Chapter 11 Solutions