Solution Found!
Solved: You Explain It! Cell Phone Rates Monthly charges
Chapter 7, Problem 31AYU(choose chapter or problem)
Monthly charges for cell phone plans in the United States are normally distributed with mean \(\mu=\$ 62\) and standard deviation \(\sigma=\$ 18\). Source: Based on information from Consumer Reports
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of plans that charge less than $44.
(c) Suppose the area under the normal curve to the left of x = $44 is 0.1587. Provide two interpretations of this result.
Questions & Answers
QUESTION:
Monthly charges for cell phone plans in the United States are normally distributed with mean \(\mu=\$ 62\) and standard deviation \(\sigma=\$ 18\). Source: Based on information from Consumer Reports
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of plans that charge less than $44.
(c) Suppose the area under the normal curve to the left of x = $44 is 0.1587. Provide two interpretations of this result.
ANSWER:Step 1 of 3
a).
A normal curve with \(\mu=62\) and \(\sigma=18\) is given below
Where,
\(\begin{array}{c}
\mu-\sigma=62-18 \\
=44 . \\
\mu+\sigma=62+18 \\
=80 .
\end{array}\)
