passersby have taken 4 pieces of vanilla cake and 6 pieces of coconut cake from a sample tray. based on past…
passersby have taken 4 pieces of vanilla cake and 6 pieces of coconut cake from a sample tray. based on past data, of the next 30 samples taken, how many should you expect to be pieces of vanilla cake? pieces of vanilla cake
Answer
Explanation:
Step1: Calculate total pieces taken
The total number of pieces taken initially is $4 + 6=10$ pieces.
Step2: Find the proportion of vanilla - cake
The proportion of vanilla - cake in the initial sample is $\frac{4}{10}=\frac{2}{5}$.
Step3: Calculate the expected number of vanilla - cake in 30 samples
We multiply the proportion of vanilla - cake by the total number of new samples. So the expected number of vanilla - cake in 30 samples is $\frac{2}{5}\times30 = 12$.
Answer:
12