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

You can learn the basics and master the rules by attending classes. Then it takes months of hard work or practice to learn photography. More details feel free to contact.
Get as good as deeper, if you are doing basics and master.
Ambuj
0 0
View Comments7
Is coaching in class 12 necessary to score 100 in chemistry?
Coaching is NOT necessary. But one must be ready to develop some qualities/habits to substitute the advantages coaching institutes provides. 1. CONSISTENCY: You must be regular with your studies. Because...
Santosh
0 0
View Comments5
what are the neccessary machine to start online class?
The simplest answer can be a communicating device which can support video chat.. like computer, laptop, smartphone, netbook etc
Krishnapal
0 0
View Comments9
What is embolism?
An embolism is the lodging of an embolus, which may be a blood clot, fat globule, gas bubble or foreign material in the bloodstream. This can cause a blockage in a blood vessel.
Balendra
0 0
View Comments5
How can i get cctv and electronics devices technical notes and text in newmumbai and mumbai area... Please help me to learn ethivally thankyou.
Online book shopping. You can read review before you buy.
Matrix
0 0
View Comments8

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

Ask a Question

Related Lessons

This lesson is about effective learning with corresponds to time management.
Effective Learning and Time Managment Start using a calendar, planner, or task list at the start of the semester/ Curriculum. Write down important dates for exams, assignments and other projects on...

Chetna S.

0 0
View Comments0
Phototrophic Bacteria
Phototrophic bacteria are species that use inorganic compounds as thier source of electrons (i.e. photolithotrophs). For example, Chromatium okenii uses H2S as its electron donor, oxidizing it to elemental...
N

Nisha S.

1 0
View Comments0
Adsorption
Solid surface has the tendency to attract and retain the molecules of the phase with which it comes in contact.These molecules remain only at the surface and do not go deeper into the bulk. The process...
S

Sharada

0 0
View Comments0
Multiple Choice Question On Material Science
Multiple Choice Questions: 1. First material known to be used by man: (a) Cotton (b) Bronze (c) Iron (d) Rock 2. First metal known to be used by man:(a) Iron (b) Bronze (c) Silver (d) Aluminium 3. Which...
G

Gratify

2 0
View Comments0
Isolation of Nucleic Acids -Part 1
A

Avantika S.

0 0
View Comments0

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 Jaipur
BSc Tuition in Chandigarh
BSc Tuition in Noida

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