DJ LeMahieu of the Colorado Rockies had the highest batting average in the 2016 Major League
Baseball season. His average was .348. So assume the probability of getting a hit is .348 for each time
he batted. In a particular game, assume he batted three times.
a. This is an example of what type of probability?
b. What is the probability of getting three hits in a particular game?
c. What is the probability of not getting any hits in a game?
d. What is the probability of getting at least one hit?
Answers
Given : DJ LeMahieu of the Colorado Rockies had the highest batting average in the 2016 Major League Baseball season.
His average was .348
So assume the probability of getting a hit is .348 for each time he batted. In a particular game,
he batted three times
To Find : a. This is an example of what type of probability?
b. What is the probability of getting three hits in a particular game?
c. What is the probability of not getting any hits in a game?
d. What is the probability of getting at least one hit?
Solution:
This is an example of Normal Distribution
probability of hitting p = 0.348
probability of not hitting q = 1 - p = 1 - 0.348 = 0.652
P(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 3
probability of getting three hits in a particular game = P(3)
= ³C₃(0.348)³(0.652)³⁻³
= (0.348)³
= 0.04214
probability of not getting any hits in a game
P(0)
= ³C₀(0.348)⁰(0.652)³⁻⁰
= 0.2772
probability of getting at least one hit
= 1 - P(0)
= 0.7228
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Answer:
a. Empirical probability
b. .042
c. .277
d. .723
Step-by-step explanation:
b. (.348^3) = .042
c. (1 - .348) = .652^3 = .277
d. 1 - .277 = .723