Answer:
3 batters
Step-by-step explanation:
For the past data, we have observed that:
15 batters have gotten a hit
5 batters have not
The total of batters that we have observed is
n = 15 + 5 = 20
Therefore, this means that based on the observed data, the probability that a batter gets a hit is:
[tex]p(hit)=\frac{n(h)}{n}=\frac{15}{20}=0.75[/tex]
where
n(h) = 15 is the number of batters that got a hit
After that, we want to know how many batters we will expect to get a hit in the next 4 batters. We can write it as:
[tex]n(h) = 4 \cdot p(hit)[/tex]
And since
p(hit) = 0.75
We find:
[tex]n(h)=4\cdot 0.75 =3[/tex]
So, we expect 3 batters to get a hit in the next 4.
