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

Respuesta :

Answer: 180

Step-by-step 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 :

[tex]E=np\\\\ E= 300\times0.60=180[/tex]

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

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