Question

This probability distribution shows thetypical distribution of pitches thrown to abatter in a given "at-bat" in a baseball game.Pitchesthrow fewer than 3 pitches to a batter.

Answer 1

Step-by-step explanation:

From the table, the total sample space will be calculated below as

`n(S)=15+20+40+15+10=100`

Concept:

To calculate the probability of throwing fewer than 3 pitches, we will use the formula

`P(PITCHES<3)=P(1)+P(2)`

The probabaility of throwing 1 pitch is calculated below as

`P(1)=(n(1))/(n(S))=(15)/(100)`

The probabaility of throwing 2 pitches is calculated below as

`P(1)=(n(2))/(n(S))=(20)/(100)`

Hence, by susbtituting the values in the formula, we will have

`\begin{gathered} P(PITCHES\lt3)= P(1)+P(2) \\ P(PITCHES\lt3)=(15)/(100)+(20)/(100)=(35)/(100)=0.35 \end{gathered}`

Hence,

The final answer is

`0.35`