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 Last Modified  

12 Answers

Follow 5
Answer

Please enter your answer

Gaurav Goel

20 years of experience as Maths Tutor

e^(-2.5) =0.082
Comments
Dislike Bookmark

Experienced Biology teacher from mumbai

e^(-2.5) =0.082
Comments
Dislike Bookmark

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...
read more
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
Comments
Dislike Bookmark

Score high in Math under the my guidance with 20 years teaching experience

e^(-2.5)=0.08208
Comments
Dislike Bookmark

Senior Statistics Teacher with 20 years of experience from University of Hyderabad

0.08208
Comments
Dislike Bookmark

It Professional Trainer With 10 Years of Experience in It Industry

e^(-2.5) =0.082
read more
e^(-2.5) =0.082 read less
Comments
Dislike Bookmark

enthusiastic unemployer & qualified GATE exam twice

0.082
Comments
Dislike Bookmark

e^(-2.5)=0.082
Comments
Dislike Bookmark

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...
read more
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
Comments
Dislike Bookmark

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
read more
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
Comments
Dislike Bookmark

View 10 more Answers

Related Questions

How can I identify stereoisomers?
Chemists like to categorize the similarities between two molecules just as you would for the relationship between two people. The level of similarity between two molecules can help predict their similarity...
Subham
0 0
8
Proved mathematically the height of mirror be half then the height of the object to get full image in mirror.
Assume that the object (AB) height is h which is same as the image (A'B') height. CD is the mirror. We all know that angle of incidence (i) = angle of reflection (r). As a result, the path traced by...
Yogesh
0 0
7
Why the space didn't have gravity?
Space has gravity. The planets are revolving around the sun is just because of gravity. The centripetal force is balanced by force of gravity. So your question needs to be modified. You can say about atmosphere...
Kailash
How does the creative arts help the learners to learn English?
Creative are make concept is long time you remember and is practical work make complite undestanding.
Fokhar
1 1
9
Is going to coaching necessary for chemistry class 11 CBSE?
Better is that u can use different reference text book and creat own notes which are use full for your study.
Pradeep
0 0
5

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Probability
Probability is the possibility of an event to be occurred or happened. Probability is the ratio of the number of favorable events with the total number of events. An event which is definitely...
M

Mohit S.

1 0
0
Mitochondria 04

Mohit Kumar

0 0
0
Oncolytic virotherapy
Oncolytic Virotherapy: Measles Virus as an agent of tumour destruction Oncolytic Viruses- Viruses that replicate selectively in tumour tissues and lyse the tumour cells Virotherapy Benefits (Attenuated...

Biju G.

0 0
0
Conductometric Titrations
1. Conductometric Titrations: The principle of conductometric titration is based on the fact that during the titration, one of the ions is replaced by the other and invariably these two ions differ in...

Nidhi T.

1 0
0
Computer Worksheet For Grade I/II
Chapters: How Does a Computer Work And Starting Up And Shutting Down: 1. Write T for True and F for False: CPU is the brain of the computer. The CPU has a device called the Pen drive. Switching...

Preethi Vinitha W.

0 0
0

Recommended Articles

6 Exam Hall Tips To Follow, For Every Good Student

Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...

Read full article >

6 Healthy Habits of School Children

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

5 Engaging Activities For Children To Get...

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

The Trend of E-learning and it’s Benefits

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Find BSc Tuition near you
BSc Tuition in Bangalore
BSc Tuition in Delhi
BSc Tuition in Hyderabad
BSc Tuition in Chennai
BSc Tuition in Kolkata
BSc Tuition in Mumbai
BSc Tuition in Pune
BSc Tuition in Noida
BSc Tuition in Chandigarh
BSc Tuition in Jaipur

Looking for BSc Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you