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?\n\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?\n\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 to be sold. Let $E$ be the expected number. Then $E = P\times20$. Substituting $P=\frac{1}{2}$ into the formula, we get $E=\frac{1}{2}\times20 = 10$.