emmy is tossing bean bags at a target. she hit the target on 9 out of her last 18 tries. considering this…
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?
Answer
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