Problem regarding the negative exponential distribution

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Suppose that the life expectancy X of each member of a certain group of people is an r.v. having the Negative Exponential distribution with parameter l = 1/50 (years). For an individual from the group in question, compute the probability that

i) He will survive to retire at 65;

ii) He will live to be at least 70 years old, given that he just celebrated his 40th birthday;

iii) For what value of c, P(X > c) = 1?

Reference no: EM13968902

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