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Time of the phone call is modeled with the expoential r.v with mean 12 minutes. calculate the probability that the call will last longer than half an hour.
Asked by Balaprasad Last Modified
Answer 
V Sriram kumar V sriram kumar
Senior Statistics Teacher with 20 years of experience from University of Hyderabad
Formula for exponential distribution is : f(x) = me–mx
By replacing the variables with mean = 12 mins and by information call will last for 0.2 hours to 0.5 hours, we can get the required probability will be : 1-me–mx
So, the answer is 0.082
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e^(-2.5) =0.082
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Mounika Kalidindi
Graduated from renowed Business school and expertise in teaching Mathematics and Physics
It is based on the concept of Exponential distribution.
Continuous random variable as it is measured- If x is the amount of time the phone call lasts which is 30 min in this scenario
As time is mean for decaying, the decaying parameter her is 1/mean = 1/12 = 0.08
So, the probability that phone call lasts for 30 minutes is = 0.08e^-0.08*30
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Score high in Math under the my guidance with 20 years teaching experience
Deependra Kumar
10 Years experience of training Xth board students for CBSE and ICSE Xth Board exams.
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