Question

To calculate: The probability that the selected student of 17-26 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 2020-10-27
To calculate: The probability that the selected student of 17-26 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.

Expert Answers (1)

2020-10-28

Formula used:
In a sample space, S, of equally likely, the probability of an event E is given by
\(\displaystyle{P}{\left({E}\right)}={\frac{{nu{m}{b}{e}{r}\ {o}{f}\ {e}le{m}{e}{n}{t}{s}\ in\ {t}{h}{e}\ {e}{v}{e}{n}{t}}}{{nu{m}{b}{e}{r}\ {o}{f}\ {e}le{m}{e}{n}{t}{s}\ in\ {t}{h}{e}\ {s}{a}mple\ {s}{p}{a}{c}{e}}}}={\frac{{{n}{\left({E}\right)}}}{{{n}{\left({S}\right)}}}}\)
Calculation:
Denote the sample space as
\(\displaystyle{S}={920}\)
Let R represent the event of selecting a student of 17-26 age group has received an "A" in the course
\(\displaystyle{R}={150}\)
\(\displaystyle{P}{\left({R}\right)}={\frac{{{n}{\left({R}\right)}}}{{{n}{\left({S}\right)}}}}={\frac{{{150}}}{{{920}}}}={\frac{{{15}}}{{{92}}}}\)
Therefore, probability that the selected student of 17-26 age group has received an "A" in the course is \(\displaystyle{\frac{{{15}}}{{{92}}}}\).

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