Question

To calculate: The probability that the selected student of 37-46 age group has received an "A" in the course. Given Information: A table depicting the grade distribution for a college algebra class based on age and grade.

Upper level algebra
ANSWERED
asked 2021-03-02
To calculate: The probability that the selected student of 37-46 age group has received an "A" in the course.
Given Information:
A table depicting the grade distribution for a college algebra class based on age and grade.

Answers (1)

2021-03-03

Formula used:
In a sample space, S, of equally likely, the probability of an event E is given by
\(P(E)=\frac{\text{number of elements in the event}}{\text{number of elements in the sample space}}=\frac{n(E)}{n(S)}\)
Calculation:
Denote the sample space as
\(\displaystyle{S}={370}\)
Let R represent the event of selecting a student of 37-46 age group has received an "A" in the course
\(\displaystyle{R}={150}\)
\(\displaystyle{P}{\left({R}\right)}={\frac{{{n}{\left({R}\right)}}}{{{n}{\left({S}\right)}}}}={\frac{{{150}}}{{{370}}}}={\frac{{{15}}}{{{37}}}}\)
Therefore, probability that the selected student of 37-46 age group has received an "A" in the course is \(\displaystyle{\frac{{{15}}}{{{37}}}}\).

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