the distribution of pitches thrown in all the at - bats in a baseball game is as follows.\n| pitches | 1 | 2…

the distribution of pitches thrown in all the at - bats in a baseball game is as follows.\n| pitches | 1 | 2 | 3 | 4 | 5 |\n| frequency | 12 | 16 | 32 | 12 | 8 |\nfind the probability a pitcher will throw exactly 2 pitches in an at - bat.\np(2)=?

the distribution of pitches thrown in all the at - bats in a baseball game is as follows.\n| pitches | 1 | 2 | 3 | 4 | 5 |\n| frequency | 12 | 16 | 32 | 12 | 8 |\nfind the probability a pitcher will throw exactly 2 pitches in an at - bat.\np(2)=?

Answer

Explanation:

Step1: Calculate total frequency

$12 + 16+32 + 12+8=80$

Step2: Calculate probability of throwing 2 pitches

The frequency of throwing 2 pitches is 16. Probability $P(2)=\frac{\text{Frequency of 2 pitches}}{\text{Total frequency}}=\frac{16}{80}$

Step3: Simplify the fraction

$\frac{16}{80}=\frac{1}{5} = 0.2$

Answer:

$0.2$