124k views
0 votes
or a 30-day month, 20 days were sunny, 25 days were weekdays, and 18 of the sunny days fell on a weekday. If S is the event that a day is sunny and W is the event that the day is a weekday, find P(S|W) and identify its meaning. anine tenths semicolon the probability that a day is sunny given that it is a weekday beighteen twenty fifths semicolon the probability that a day is sunny given that it is a weekday cnine tenths semicolon the probability that a day is a weekday given that it is sunny deighteen twenty fifths semicolon the probability that a day is a weekday given that it is sunny

1 Answer

2 votes

\begin{gathered} p(S)=(20)/(30) \\ p(W)=(25)/(30) \\ p(S\cap W)=(18)/(30) \end{gathered}

To find


\begin{gathered} p(S|W)=(p(S\cap W))/(p(W)) \\ \\ p(S|W)=((18)/(30))/((25)/(30)) \\ \\ p(S|W)=(18)/(25) \end{gathered}

Interpretation: eighteen twenty fifths semicolon the probability that a day is sunny given that it is a weekday

User Rolf Rander
by
4.2k points