Question
From a sample tray, 4 of the last 10 cake samples chosen were strawberry. Based on past data, of the next 20 samples taken, how many should you expect to be pieces of strawberry cake?
pieces of strawberry cake
pieces of strawberry cake
Answers
GPT-4o mini
If 4 out of the last 10 cake samples were strawberry, this indicates that the proportion of strawberry cake samples in this specific sample is \( \frac{4}{10} = 0.4 \).
To estimate how many strawberry cake pieces can be expected from the next 20 samples, we can multiply this proportion by the number of samples:
\[
\text{Expected number of strawberry samples} = \text{Proportion of strawberry samples} \times \text{Number of samples}
\]
\[
\text{Expected number of strawberry samples} = 0.4 \times 20 = 8
\]
Thus, you should expect **8** pieces of strawberry cake from the next 20 samples.
To estimate how many strawberry cake pieces can be expected from the next 20 samples, we can multiply this proportion by the number of samples:
\[
\text{Expected number of strawberry samples} = \text{Proportion of strawberry samples} \times \text{Number of samples}
\]
\[
\text{Expected number of strawberry samples} = 0.4 \times 20 = 8
\]
Thus, you should expect **8** pieces of strawberry cake from the next 20 samples.