Paula pidcoe is doing her budget. she discovers that the average miscellaneous expense is $65.00 with a standard deviation of $18.00. what percent of her expenses in this category would she expect to fall between $54.20 and $86.60?

68.65%

Step-by-step explanation:

Given : Paula Pidcoe discovers that the average miscellaneous expense is $65.00 with a standard deviation of $18.00.

i.e. and

We assume that the miscellaneous expenses follows normal distribution.

Let x denotes the miscellaneous expenses .

Then, the probability that  her expenses fall between $54.20 and $86.60 will be :

Hence, she would expect 68.65% of her expenses in this category to fall between $54.20 and $86.60 .