Question

a certain MLB baseball pitcher throws a strike on his first pitch to a batter about 60% of the time if during the next season this pictcher faces 300 batters how many of those batters would we expect there to be a strike on the first pitch

Answer 1

Answer: 180

Explanation:

Given : A certain MLB baseball pitcher throws a strike on his first pitch to a batter about 60% of the time .

i.e. probability that batters to be a strike on the first pitch : p= 0.60

Now, if during the next season this pitcher faces 300 batters (n= 30) , then the expected number of batters would be a strike on the first pitch :

`E=np\\\\ E= 300*0.60=180`

Hence, the expected number of batters would be a strike on the first pitch=180