marcy is watching a baseball game. so far, 5 batters have gotten a hit and 10 batters have not. out of the…
marcy is watching a baseball game. so far, 5 batters have gotten a hit and 10 batters have not. out of the next 12 batters, how many should marcy expect to get a hit, given the past data? hits
Answer
Explanation:
Step1: Calculate the hit - rate
The total number of batters so far is $5 + 10=15$. The number of batters who got a hit is 5. So the hit - rate $r=\frac{5}{15}=\frac{1}{3}$.
Step2: Predict the number of hits
We want to predict the number of hits out of the next 12 batters. Let the number of hits be $x$. We use the proportion: $\frac{x}{12}=\frac{1}{3}$. Cross - multiply gives $3x = 12$. Solving for $x$, we get $x = 4$.
Answer:
4