Answer in Statistics and Probability for Shema Derrick #205133

The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?

“Answer: \nnnnSince space we space have space given space that n\nProbability space that space it space is space Friday space and space that space a space student space is space absent space = space 0.03 \nnP(Fu2229A)= space 0.03 \nnProbability space it space is space Friday space = space 0.2 space = space P(F) \nnWe space need space to space find space the space probability space that space a space student space is space absent space given space that space today space is space Friday. \nnSo, space We space will space use space “Conditional space Probability”:n \nbegin{gathered}P(A|F)=dfrac{P(Fcap space A)}{P(F)}\\P(A|F)=dfrac{0.03}{0.2}\\P(A|F)=0.15end{gathered}nn \nHence, space our space required space probability space is space 0.15.”