a band played an encore at 2 of its last 4 shows. considering this data, how many of the bands next 14 shows…
a band played an encore at 2 of its last 4 shows. considering this data, how many of the bands next 14 shows would you expect to have an encore? shows
Answer
Explanation:
Step1: Calculate the probability of an encore
The probability $P$ of an encore is the number of shows with encores divided by the total number of shows. Given that there were 2 encores in 4 shows, $P=\frac{2}{4}=\frac{1}{2}$.
Step2: Predict the number of encores in 14 shows
Multiply the probability of an encore by the number of upcoming shows. Let $n$ be the expected number of encores in 14 shows. Then $n = P\times14$. Substituting $P = \frac{1}{2}$, we get $n=\frac{1}{2}\times14 = 7$.
Answer:
7