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Answer in Statistics and Probability for Shema Derrick #205134

Author:
October 24th, 2022

At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

“Atspace Kennedyspace Middlespace School,space thespace probabilityspace thatspace aspace studentspace takesspace Technologyspace andspace Spanishspace isspace 0.087.\nspace Thespace probabilityspace thatspace aspace studentspace takesspace Technologyspace isspace 0.68.\nspace Whatspace isspace thespace probabilityspace thatspace aspace studentspace takesspace Spanishspace givenspace thatspace thespace studentspace isspace takingspace Technology?\n————————–\nSolution:space \ngiven\nthespace probabilityspace thatspace aspace studentspace takesspace Technologyspace andspace Spanishspace isspace 0.087.\nspace tP(Technologyspace andspace Spanish)=0.087\nThespace probabilityspace thatspace aspace studentspace takesspace Technologyspace isspace 0.68.\nP(Technology)=0.68\nthenspace probabilityspace thatspace aspace studentspace takesspace Spanishspace givenspace thatspace thespace studentspace isspace takingspace Technology\nwespace usespace conditonalspace probability\nP(Spanish|Technology)tspace space =space space ntfrac{P(Technologyspace andspace Spanish)}{P(Technology)}\nspace =space space frac{0.087}{0.68}\tn=space space 0.13\n=13%\”

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