Question

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes....

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arrival time is more than 25 minutes on a given day?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

Given: The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

Thus probability density function is given by:

and its cumulative distribution function is given by:

We have to find: the probability that the mail arrival time is more than 25 minutes on a given day

That is: P( X> 25) =............?

thus  the probability that the mail arrival time is more than 25 minutes on a given day is 0.5 .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The time (in minutes) until the next bus departs a major bus depot follows a distribution...
The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x) = 1 20 where x goes from 25 to 45 minutes. Part (h) Find the probability that the time is between 30 and 40 minutes. (Enter your answer as a fraction.) Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.)The probability of a waiting time more than 30 minutes and  less than 40 minutes is ? ,...
a) The time of arrival of a person at work has a uniform distribution from 8:40am...
a) The time of arrival of a person at work has a uniform distribution from 8:40am to 9:20am. On any day, what is the probability that the person will not arrive in the office early given that office starts from 9:00am? b) Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a...
The time (in minutes) until the next bus departs a major bus depot follows a distribution...
The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x) = 1 20 where x goes from 25 to 45 minutes. Part 1: Find the probability that the time is at most 35 minutes. (Enter your answer as a fraction.)Sketch and label a graph of the distribution. Shade the area of interest. Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.) The probability of a waiting...
The random variable X (population) is the time spent (in minutes) using e-mail per session and...
The random variable X (population) is the time spent (in minutes) using e-mail per session and it is known that X~N(8,1^2). An average session X-bar is based on a sample of 25 sessions. Determine the probability of an average session of e-mail lasting for more than 8.5 minutes. A. 0.6554 B. 0.6915 C. 0.3085 D. 0.0062
Uniform A study of the time spent shopping in a supermarket for a market basket of...
Uniform A study of the time spent shopping in a supermarket for a market basket of 20 specific items showed an approximately uniform distribution between 20 and 40 minutes. What is the probability that the shopping time will be between 25 and 30 minutes? (draw the graph and shade in the appropriate area!) What is the probability that the shopping time will be less than 35 minutes? (draw the graph and shade in the appropriate area!) What is the probability...
consider a uniform probability distribution over the interval of 12 and 20. what are the mean...
consider a uniform probability distribution over the interval of 12 and 20. what are the mean and standard deviation of this uniform distribution. Find the prob of s value more than 14. What is the probability of a value between 8.5 and 10.5 Show that the total area is 1.00
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims...
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per hour. a) Find the probability that there are no claims during 10 minutes. b) Find the probability that there are at least two claims during 30 minutes. c) Find the probability that there are no more than one claim during 15 minutes. d) Find the expected number of claims during a period of 2 hours. (5)
5. A) A VCR has an exponential failure time distribution, with an average time of 20,000...
5. A) A VCR has an exponential failure time distribution, with an average time of 20,000 hours. If the VCR has lasted 20,000 hours, then the probability that it will fail at 30,000 hours or earlier is: B) Of the following normal curves, with the parameters indicated, the one that most closely resembles the curve with parameters ϻ = 10 and σ = 5 and it is: C) The service time at the window of a certain bank follows an...
The random variable X (population) is the time spent (in minutes) using e-mail per session and...
The random variable X (population) is the time spent (in minutes) using e-mail per session and it is known that X~N(8,1^2). An average session X-bar is based on a sample of 25 sessions. Determine the probability of an average session lasting for less than 8.3 minutes based on a sample of 25 sessions (do not round). That is, P( X-bar ≤8.3)= A. 0.9332 B. 0.8413 C. 0.0668 D. 0.1587
The time (in minutes) until the next bus departs a major bus depot follows a uniform...
The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 28 to 46 minutes. Let   X   denote the time until the next bus departs. The distribution is    (pick one) PoissonNormalExponentialUniform and is    (pick one) discretecontinuous . The mean of the distribution is μ=   . The standard deviation of the distribution is σ=   . The probability that the time until the next bus departs is between 30 and 40 minutes is P(30<X<40)=   . Ninety percent of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT