At a University, 65% of all entering freshmen will eventuallyearn a degree. Of t

Question

At a University, 65% of all entering freshmen will eventuallyearn a degree. Of those who do graduate, 74% will graduatewithin 4 years. If one eneering freshman is chosen atrandom, what is the probability that: a) He/She will not graduate? b) He/She will graduate within 4 years? c) He/She will graduate in more than 4 years? At a University, 65% of all entering freshmen will eventuallyearn a degree. Of those who do graduate, 74% will graduatewithin 4 years. If one eneering freshman is chosen atrandom, what is the probability that: a) He/She will not graduate? b) He/She will graduate within 4 years? c) He/She will graduate in more than 4 years?

Explanation / Answer

Given that, 65% of all entering freshmen will eventually earn adegree. Of those who do graduate, 74% will graduate within 4years. If one eneering freshman is chosen atrandom, then, a) The probability of He/She will not graduate is1-0.65=0.35 Let x denote the  He/She will graduate within 4years b)The probability of He/She will graduate within 4 yearsis, P(x)=0.65(0.74)=0.481 c) The probability of He/She will graduate in more than4 years is,1-P(x) =1-0.481=0.519 65% of all entering freshmen will eventually earn adegree. Of those who do graduate, 74% will graduate within 4years. If one eneering freshman is chosen atrandom, then, a) The probability of He/She will not graduate is1-0.65=0.35 Let x denote the  He/She will graduate within 4years b)The probability of He/She will graduate within 4 yearsis, P(x)=0.65(0.74)=0.481 c) The probability of He/She will graduate in more than4 years is,1-P(x) =1-0.481=0.519

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