Question

suppose the monthly charges for cell phone plans are normally distributed with mean $mu = \\$55$ and standard deviation $\sigma = \\$18$.
(a) draw a normal curve with the parameters labeled.
(b) shade the region that represents the proportion of plans that charge less than $\\$37$.
(c) suppose the area under the normal curve to the left of $x = \\$37$ is $0.1587$. provide an interpretation of this result.
(d) choose the correct graph below.
(c) select the correct choice below and fill in the answer box to complete your choice. (type a whole number.)
a. the probability is $0.1587$ that a randomly selected cell phone plan in this population is more than $\\$\square$ per month.
b. the probability is $0.1587$ that a randomly selected cell phone plan in this population is less than $\\$\square$ per month.

Explanation:

In a normal distribution, the area under the curve to the left of a value \(X\) represents the probability that a randomly - selected observation is less than \(X\). Here, \(X = 37\) and the area to the left of \(X = 37\) is given as \(0.1587\).

Answer:

B. The probability is \(0.1587\) that a randomly selected cell phone plan in this population is less than \(\$37\) per month.