Question:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 312
Thick crust 245
Stuffed crust 179
Pan style 304
Based on this information, of the next 4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
1060 thick crusts
Step-by-step explanation:
Given
The above table
Required
Expected number of thick crust for the next 4500
For last week data, calculate the proportion of thick crust sold
[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]
[tex]\hat p = \frac{245}{312+245+179+304}[/tex]
[tex]\hat p = \frac{245}{1040}[/tex]
[tex]\hat p = 0.235577[/tex]
For the next 4500;
[tex]n = 4500[/tex]
The expected number of thick crust is (E(x)):
[tex]E(x) = \hat p * n[/tex]
[tex]E(x) = 0.235577 * 4500[/tex]
[tex]E(x) = 1060.0965[/tex]
[tex]E(x) \approx 1060[/tex]
