Question

emmy is tossing bean bags at a target. she hit the target on 9 out of her last 18 tries. considering this data, how many hits would you expect emmy to get during her next 16 tosses?

Explanation:

Step1: Calculate the hit - rate

The hit - rate is calculated by dividing the number of hits by the number of tries. Emmy hit the target 9 out of 18 tries. So the hit - rate $p=\frac{9}{18}=0.5$.

Step2: Calculate the expected number of hits

The expected number of hits $E(X)$ in $n = 16$ tries is given by the formula $E(X)=n\times p$. Substitute $n = 16$ and $p = 0.5$ into the formula. So $E(X)=16\times0.5 = 8$.

Answer:

8