Question

Nate is watching a baseball game. So far, 15 batters have gotten a hit and 5 batters have not. Out of the next 4 batters, how many should Nate expect to get a hit, given the past data?

Answer 1

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:

$p(hit)=\frac{n(h)}{n}=\frac{15}{20}=0.75$

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:

$n(h) = 4 \cdot p(hit)$

And since

p(hit) = 0.75

We find:

$n(h)=4\cdot 0.75 =3$

So, we expect 3 batters to get a hit in the next 4.