Question

The time spent by a person talking on the phone is a random variable described by the exponential "memoryless" distribution. The mean value of that random variable is five minutes. Calculate the probability that a person is going to spend more than ten minutes talking on a phone by taking into account that the person continues to talk after five minutes?

Answer 1

Solution? on Given that, the time spent by a person talking the phone is landom Variable described by the Coonential " memoryless" distribution The mean time is 5 minute. 7e Х exp ( density function and is given as g(x) = 45 e 5 . ?>o mlan Memory Aess property If yn enfonential with l, then PCX zary / x>x] = =P[XSY3 Now P[x>100x>53 = P[X>53 5 f(x) dx } į el dx a Š x[-sets] S - et = 0.3679

The probability that a person is going to Spend more than ten minutes talking talking on taking into account that the person continues to talk abter five minutes is 0.3679 a phone by