Explanation Calculation: Given, The equation for a general normal curve is y = e − ( x − μ ) 2 / ( 2 σ 2 ) σ 2 π Here μ = 50 , and σ = 10 Thus y = e − ( x − 50 ) 2 / ( 2 ( 10 ) 2 ) 10 2 π y = e − ( x − 50 ) 2 / ( 200 ) 10 2 π Now, compute the value of y for the given value of x = 20 , 30 , … , 70 , 80 . x y = e − ( x − 50 ) 2 / ( 200 ) 10 2 π y 20 e − ( 20 − 50 ) 2 / ( 200 ) 10 2 π = e − ( − 30 ) 2 / ( 200 ) 10 2 π = e − 900 / ( 200 ) 10 2 π = e − 9 / 2 10 2 π = 2 π 10 ⋅ 2 π e 9 / 2 = 2 π 20 π e 9 / 2 2 π 20 π e 9 / 2 30 e − ( 30 − 50 ) 2 / ( 200 ) 10 2 π = e − ( − 20 ) 2 / ( 200 ) 10 2 π = e − 400 / ( 200 ) 10 2 π = e − 2 10 2 π = 2 π 10 ⋅ 2 π e 2 = 2 π 20 π e 2 2 π 20 π e 2 40 e − ( 40 − 50 ) 2 / ( 200 ) 10 2 π = e − ( − 10 ) 2 / ( 200 ) 10 2 π = e − 100 / ( 200 ) 10 2 π = e − 1 / 2 10 2 π = 2 π 10 ⋅ 2 π e 1 / 2 = 2 π 20 π e 1 / 2

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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 14.3, Problem 60PS

To determine

To evaluate:

The equation for a general normal curve y=e−(x−μ)2/(2σ2)σ2π for the given values of x, with mean μ=50 and the standard deviation σ=10.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.3, Problem 59PS

Chapter 14.4, Problem 1PS

Students have asked these similar questions

Write three other different proportions equivalent to the following using the same values as in the given proportion 3 foot over 1 yard equals X feet over 5 yards

The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are rotated through 180°? Assume the radius of the bicycle wheel is 13.5 inches. The bicycle will travel approximately in. (Round to the nearest tenth.) mple Get more help K 1.44 in 4.26 in Clear all Chuck anawe

Four Numbers - Expected Value According to the Michigan Lottery the best odds of winning are when you pick four numbers. If all four numbers come up then you win $72 for each dollar you bet. If three numbers come up then you win $5 for each dollar you bet. If two numbers come up then you win $1 for every dollar you bet (net winnings are zero). Otherwise, you lose the money you bet. Fill out the following table, assuming a $1 bet. Enter your probabilities as decimals, entering all the digits you see on your calculator. Outcome Probability Net Value (Don't forget to account for the $1 bet) Product (Round to 3 decimals) 4 correct $ $ 3 correct $ $ 2 correct $ $ 0 or 1 correct $ $

Chapter 14 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 14.1 - IN YOUR OWN WORDS Name and describe several...Ch. 14.1 - IN YOUR OWN WORDS Distinguish between a frequency...Ch. 14.1 - IN YOUR OWN WORDS Write down what you think the...Ch. 14.1 - Prob. 4PS Ch. 14.1 - Consider the line graph shown in Figure 14.11. a....Ch. 14.1 - Prob. 6PS Ch. 14.1 - Consider the line graph shown in Figure 14.13. a....Ch. 14.1 - Prob. 8PS Ch. 14.1 - The amount of electricity used in a typical...Ch. 14.1 - At a well-known major university, the career...

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 equation for a general normal curve y = e − ( x − μ ) 2 / ( 2 σ 2 ) σ 2 π for the given values of x , with mean μ = 50 and the standard deviation σ = 10 .

Solution Summary: The author explains how the equation for a general normal curve is y=e-(x- mu 'right')2/'left'sigma

Concept explainers

Videos

To evaluate:

The equation for a general normal curve y=e−(x−μ)2/(2σ2)σ2π for the given values of x, with mean μ=50 and the standard deviation σ=10.

Want to see the full answer?

Chapter 14 Solutions

The equation for a general normal curve y = e − ( x − μ ) 2 / ( 2 σ 2 ) σ 2 π for the given values of x , with mean μ = 50 and the standard deviation σ = 10 .

Solution Summary: The author explains how the equation for a general normal curve is y=e-(x- mu 'right')2/'left'sigma

Concept explainers

Videos

To evaluate: The equation for a general normal curve y=e−(x−μ)2/(2σ2)σ2π for the given values of x, with mean μ=50 and the standard deviation σ=10.

Want to see the full answer?

Chapter 14 Solutions

To evaluate:

The equation for a general normal curve y=e−(x−μ)2/(2σ2)σ2π for the given values of x, with mean μ=50 and the standard deviation σ=10.