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.

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Gaurav Goel

20 years of experience as Maths Tutor

e^(-2.5) =0.082
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Experienced Biology teacher from mumbai

e^(-2.5) =0.082
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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...
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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 read less
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Score high in Math under the my guidance with 20 years teaching experience

e^(-2.5)=0.08208
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Senior Statistics Teacher with 20 years of experience from University of Hyderabad

0.08208
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It Professional Trainer With 10 Years of Experience in It Industry

e^(-2.5) =0.082
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e^(-2.5) =0.082 read less
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enthusiastic unemployer & qualified GATE exam twice

0.082
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e^(-2.5)=0.082
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IIT Grad and Chip Designer with 15 years experience

We can model the phone call with an exponential function has a Probability density Function (PDF) that can be represented as where b>0 and the random variable 'x' represents the time taken by the phone call and f(x) represents the probability that the phone call lasts exactly 'x' hours. Then...
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We can model the phone call with an exponential function has a Probability density Function (PDF) that can be represented as where b>0 and the random variable 'x' represents the time taken by the phone call and f(x) represents the probability that the phone call lasts exactly 'x' hours. Then the probability that the phone call takes less than 'y' hours is given by If the mean call time is 12 (0.2 hours) minutes, it means that the probability that the call lasts 12 minutes (0.2 hours) or less is 0.5, Thus substituting y = 0.2, in the above equation we get Then the probability that the call takes more than half an hour = 1-P(0.5) = read less
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Qualified teacher with overall 6 years of research and teaching experience.

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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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 read less
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