shelleys cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. considering this data, how…

shelleys cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. considering this data, how many of the next 20 cupcakes sold would you expect to be coconut cupcakes?\ncoconut cupcakes\nsubmit

shelleys cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. considering this data, how many of the next 20 cupcakes sold would you expect to be coconut cupcakes?\ncoconut cupcakes\nsubmit

Answer

Answer:

10

Explanation:

Step1: Calculate experimental probability

The experimental - probability $P$ of selling a coconut cupcake is the number of coconut cupcakes sold divided by the total number of cupcakes sold. Given that 4 coconut cupcakes were sold out of 8 total cupcakes, $P=\frac{4}{8}=\frac{1}{2}$.

Step2: Make prediction

To find the expected number of coconut cupcakes in the next 20 cupcakes sold, we multiply the experimental probability by the number of cupcakes in the new sample. Let $x$ be the expected number of coconut cupcakes. Then $x = P\times20$. Substituting $P=\frac{1}{2}$ into the formula, we get $x=\frac{1}{2}\times20 = 10$.