Question

Anya has just missed her bus. The wait time for the next bus is between 7...

Anya has just missed her bus. The wait time for the next bus is between 7 min and 15 min, as shown, with equal probability for each time. What is the probability that she will wait less than 10 min?

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

Homework Answers

Answer #1

Let , X be the wait time for the next bus.

X be the uniform Distribution over interval ( 7 , 15 )

We have to find P( x < 10 )

Using cumulative distribution formula of Uniform distribution.

If X follows uniform distribution over interval ( a , b ) then  

Here , a = 7 and b = 15

So,

P( x <= 10 ) = 0.375

The probability that she will wait less than 10 min is 0.375

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
(4.13) Let X be the wait times for riders of a bus at a particular bus...
(4.13) Let X be the wait times for riders of a bus at a particular bus station. Suppose the wait times have a uniform distribution from 0 to 20. (Use the standard normal distribution if applicable) A)Find the probability that a random passenger has to wait between 5 and 10 minutes for a bus. B)Find the probability that a random rider has to wait more than 12 minutes for the bus, given they have already waited 7 minutes. C)Suppose we...
The amount of time, in minutes, that a person must wait for a bus is uniformly...
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0 and 15 minutes, inclusive. 1. What is the average time a person must wait for a bus? 2. What is the probability that a person waits 12.5 minutes or less?
assume that the amount of time (x), in minutes that a person must wait for a...
assume that the amount of time (x), in minutes that a person must wait for a bus is uniformly distributed between 0 & 20 min. a) find the mathematical expression for the probability distribution and draw a diagram. assume that the waiting time is randomly selected from the above interval b) find the probability that a eprson wait elss than 15 min. c) find the probability that a person waits between 5-10 min. d) find the probability the waiting time...
Alice takes the bus to school. The bus is scheduled to arrive at a bus stop...
Alice takes the bus to school. The bus is scheduled to arrive at a bus stop at 9:30am. In reality, the time the bus arrives is uniformly distributed between 9:28am and 9:40am. Let ? be the number of minutes it takes, starting from 9:28 am, for the bus to arrive to the bus stop. Then ? is uniformly distributed between 0 and 12 minutes. (a) If Alice arrives at the bus stop at exactly 9:33 am, what is the probability...
A bus arrives at a station every day at a random time between 1:00 P.M. and...
A bus arrives at a station every day at a random time between 1:00 P.M. and 1:30 P.M. (a) What is the probability that the person has to wait exactly 15 minutes for the bus? (b) What is the probability that the person has to wait between 15 and 20 minutes for the bus?
The amount of time, in minutes, that a person must wait for a bus is uniformly...
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 20 minutes, inclusive. What is the probability that a person waits fewer than 13.5 minutes? On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ. Find the 40th percentile. Draw a graph.
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...
A passenger arrives at a bus stop at 10am and waits for a bus that arrives...
A passenger arrives at a bus stop at 10am and waits for a bus that arrives at a time uniformly distributed between 10am and 10:30am. (a) What is the probability that the passenger waits more than 10 minutes? (b) What is the expected wait time? (c) What is the variance in wait time?
3) For a binomial probability distribution, the probability of success and failure. A. Will change with...
3) For a binomial probability distribution, the probability of success and failure. A. Will change with each trial B. Stays the same from trial to trial 7) Wait times for a school bus are uniformly distributed with a mean 20 minutes and a minimum wait time of 10 minutes. What is the probability a student will wait more than 25 minutes? A. 15% B. 25% 8) Wait times for a school bus are uniformly distributed with a mean 20 minutes...
Problem 3. Alice is waiting for a bus at a bus stop. She needs to take...
Problem 3. Alice is waiting for a bus at a bus stop. She needs to take a bus number 10 or 12, and she takes the first suitable bus that arrives. The arrival time of bus 10 is exponential with λ10 = 6/19, and the arrival time of bust 12 is exponential with λ12 = 3/19. Moreover, arrival times of 10 and 12 are independent. What is the probability that Alice will take bus number 10 instead of bus number...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT