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
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.

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 $$\displaystyle{\frac{{{15}}}{{{37}}}}$$.