Concept explainers
a.
To calculate: The percent of coins in circulation in 10 years with weightsthat are greater than 0.24 oz.
a.
Answer to Problem 8WE
The percent of coins in circulation in 10 years with weights that are greater than 0.24 ozis
Explanation of Solution
Given information:
Formula used:
The number x is known as standardized value to z where z is provided value of
Calculation:
Consider the provided information that
To compute percent of coins in circulation in 10 years with weights that are greater than 0.24 oz.
Recall that the number x is known as standardized value to z where z is provided value of normal distribution, m is the mean and
Here, z is 0.24, m is 0.22 and
Apply it,
The total area under the curve is 1 and standard normal curve is symmetric about y -axis.
The required percent is the area under the curve of standard normal to the right of
In a standard normal curve the area under it and between
Multiply the result by 100, to obtain the answer in percentage form,
Thus, the percent of coins in circulation in 10 years with weights that are greater than 0.24 ozis
b.
To calculate: The percent of coins in circulation in 10 years with weights that are less than 0.206 oz.
b.
Answer to Problem 8WE
The percent of coins in circulation in 10 years with weights that are less than 0.206 ozis
Explanation of Solution
Given information:
Formula used:
The number x is known as standardized value to z where z is provided value of normal distribution, m is the mean and
Calculation:
Consider the provided information that
To compute percent of coins in circulation in 10 years with weights that are less than 0.206 oz.
Recall that the number x is known as standardized value to z where z is provided value of normal distribution, m is the mean and
Here, z is 0.206, m is 0.22 and
Apply it,
The total area under the curve is 1 and standard normal curve is symmetric about y -axis.
The required percent is the area under the curve of standard normal to the leftof
In a standard normal curve the area under it and between
Multiply the result by 100, to obtain the answer in percentage form,
Thus, the percent of coins in circulation in 10 years with weights that are less than 0.206 ozis
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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