Question

A pie company randomly surveys 60 customers to determine which type of pie they would purchase.

Answer 1

Answer:

Explained below.

Step-by-step explanation:

Construct the frequency distribution from the percentage distribution as follows:

Favorite Type of Pie         Percentage           Frequency

         Peach                            25%               25% of 60 = 15

         Apple                             31%                31% of 60 = 18.6

         Other                             20%               20% of 60 = 12

        Cherry                            24%                24% of 60 = 14.4

        TOTAL                           100%                       60

It is provided that the company expects to sell 65 cherry pies in March.

The total number of people buying pies is:

$\#\text{People buying Cherry pies}=\#\text{People buying pies}\times 0.24\\\\\#\text{People buying pies}=\frac{65}{0.24}\\\\\#\text{People buying pies}=270.833$

Now compute the number of peach pies should the company expect to sell in March as follows:

$\#\text{Peach pies expected to be sold}=270.833\times 0.25 =67.7\approx 68$