Question

Suppose the monthly charges for cell phone plans are normally distributed with mean mu equals $ 63μ=$63 and standard deviation sigmaσequals=​$1717. ​(a) Draw a normal curve with the parameters labeled. ​(b) Shade the region that represents the proportion of plans that charge lessless than ​$4646. ​(c) Suppose the area under the normal curve to the leftleft of Xequals=​$4646 is 0.1587. Provide an interpretation of this result.

Answer 1

Explanation:

Let X = the monthly charges for cell phone plans

X is N(63, 17)

a) Normal curve with mean =63 and std dev =17

Find attachment

b) X<46

Since area = 0.1587, we get probability = 0.1587

P(X<46) = 0.1587