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ackboardcdn.com/61aab133e7df2/188593933?X-Blackboard-S3-Bucket=learn-us-east-1-prod-fleet01-xyt... All Bookmarks \( 2 / 6 \) \( 100 \% \) 5. (12 Points) A survey of MTH 23 students was conducted regarding whether a student spends at least three hours per week on homework and whether the student passed the class. The result of the survey is summarized in the table below: \begin{tabular}{|l|l|l|l|} \hline & Less than 3 hours (L) & At least 3 hours (A) & Total \\ \hline Passed class (PC) & 22 & 68 & 90 \\ \hline Failed class (FC) & 50 & 12 & 62 \\ \hline Total & 72 & 80 & 152 \\ \hline \end{tabular} Find the probability that a student selected at random: a. (4 Points) Passed the class: \( P(P C)= \) \( \qquad \) b. (4 Points) Falled the class and studied at least 3 hours a week: \( P(F C \) and \( A)= \) \( \qquad \) c. (4 Points) Failed the class given that he/she studied less than 3 hours per week: \( \mathrm{P}(\mathrm{FC} \mid \mathrm{L})= \) \( \qquad \) 2 1 May 21 \( 9: 15 \)

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\( 2 / 6 \)
\( 100 \% \)
5. (12 Points) A survey of MTH 23 students was conducted regarding whether a student spends at least three hours per week on homework and whether the student passed the class. The result of the survey is summarized in the table below:
\begin{tabular}{|l|l|l|l|}
\hline & Less than 3 hours (L) & At least 3 hours (A) & Total \\
\hline Passed class (PC) & 22 & 68 & 90 \\
\hline Failed class (FC) & 50 & 12 & 62 \\
\hline Total & 72 & 80 & 152 \\
\hline
\end{tabular}

Find the probability that a student selected at random:
a. (4 Points) Passed the class: \( P(P C)= \) \( \qquad \)
b. (4 Points) Falled the class and studied at least 3 hours a week: \( P(F C \) and \( A)= \) \( \qquad \)
c. (4 Points) Failed the class given that he/she studied less than 3 hours per week: \( \mathrm{P}(\mathrm{FC} \mid \mathrm{L})= \) \( \qquad \)
2
1
May 21
\( 9: 15 \)

ackboardcdn.com/61aab133e7df2/188593933?X-Blackboard-S3-Bucket=learn-us-east-1-prod-fleet01-xyt...
All Bookmarks
2 / 6
100 %
5. (12 Points) A survey of MTH 23 students was conducted regarding whether a student spends at least three hours per week on homework and whether the student passed the class. The result of the survey is summarized in the table below:

Less than 3 hours (L) At least 3 hours (A) Total

Passed class (PC) 22 68 90

Failed class (FC) 50 12 62

Total 72 80 152

Find the probability that a student selected at random:
a. (4 Points) Passed the class: P(P C)=
b. (4 Points) Falled the class and studied at least 3 hours a week: P(F C and A)=
c. (4 Points) Failed the class given that he/she studied less than 3 hours per week: P(FC|L)=
2
1
May 21
9: 15

Added by Lisa C.

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