• Home
  • Textbooks
  • Business Statistics - For Contemporary Decision Making
  • Continuous Distributions

Business Statistics - For Contemporary Decision Making

Ken Black

Chapter 6

Continuous Distributions - all with Video Answers

Educators

Section 1

The Uniform Distribution

02:33

Problem 1

Values are uniformly distributed between 200 and 240 .
a. What is the value of $f(x)$ for this distribution?
b. Determine the mean and standard deviation of this distribution.
c. Probability of $(x>230)=?$
d. Probability of $(205 \leq x \leq 220)=?$
e. Probability of $(x \leq 225)=?$

Sheryl Ezze
Sheryl Ezze
Numerade Educator
01:50

Problem 2

$x$ is uniformly distributed over a range of values from 8 to 21 .
a. What is the value of $f(x)$ for this distribution?
b. Determine the mean and standard deviation of this distribution.
c. Probability of $(10 \leq x<17)=?$
d. Probability of $(x<22)=?$
e. Probability of $(x \geq 7)=?$

James Kiss
James Kiss
Numerade Educator
View

Problem 3

The retail price of a medium-sized box of a well-known brand of cornflakes ranges from $\$ 2.80$ to $\$ 3.14 .$ Assume these prices are uniformly distributed. What are the average price and standard deviation of prices in this distribution? If a price is randomly selected from this list, what is the probability that it will be between $\$ 3.00$ and $\$ 3.10 ?$

James Kiss
James Kiss
Numerade Educator
01:36

Problem 4

The average fill volume of a regular can of soft drink is 12 ounces. Suppose the fill volume of these cans ranges from 11.97 to 12.03 ounces and is uniformly distributed. What is the height of this distribution? What is the probability that a randomly selected can contains more than 12.01 ounces of fluid? What is the probability that the fill volume is between 11.98 and 12.01 ounces?

Sneha Ravi
Sneha Ravi
Numerade Educator
03:11

Problem 5

According to the U.S. Department of Labor, the average American household spends $\$ 762$ on personal care products and services per year. Suppose annual expenditures on personal care products and services per household are uniformly distributed between the values of $\$ 376$ and $\$ 1,148$. What are the standard deviation and the height of this distribution? What proportion of households spend more than $\$ 950$ per year on household supplies? What proportion of households spend more than $\$ 1,200$ per year on household supplies? What proportion of households spend between $\$ 475$ and $\$ 600$ on household supplies?

Foster Wisusik
Foster Wisusik
Numerade Educator