during past years,the the distribution of grads A,B,C,D and Fin commerce classes

Question

during past years,the the distribution of grads A,B,C,D and Fin commerce classes has been 0.07,0.30,0.48,0.10and0.05,respectively. find the probability that a studant receives a grade of C orbetter? are the events passing with a C or better and passing with anA mutually exclusive? during past years,the the distribution of grads A,B,C,D and Fin commerce classes has been 0.07,0.30,0.48,0.10and0.05,respectively. find the probability that a studant receives a grade of C orbetter? are the events passing with a C or better and passing with anA mutually exclusive?

Explanation / Answer

Students grades A,B,C,D,F. and respective probabilities aregiven as P(A)=0.07 ,P(B)=0.3, p(C)=0.48,p(D)=0.10,p(F)=0.05 We want to find the probability of students receives grade Cor more than the grade C (that has to come as A or B) and given that they are mutualli exclusive Now the required probability P(AUBUC)=P(A)+P(B)+P(C)     [ They aremutually exclusive]                  = 0.48+0.3+0.07                   =0.85

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