Question

Suppose that the time students wait for a bus can be described by a uniform random variable X, where X is between 20 minutes

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution :

Given that,

a = 20

b = 30

(A)P(c < x < d) = (d - c) / (b - a)

P(20 < x < 22) = (22 - 20) / (30 - 20)=0.2

probability=0.2

(B)P(x > c) = (b - c) / (b - a)

P(x > 22) = (30 -22) / (30 - 20)=0.8

probability=0.8

Add a comment
Know the answer?
Add Answer to:
Suppose that the time students wait for a bus can be described by a uniform random...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Part 3: The Uniform Distribution Suppose that you need to take a bus that comes every...

    Part 3: The Uniform Distribution Suppose that you need to take a bus that comes every 30 minutes. Assume that the amount of time you have to wait for this bus has a uniform distribution between 0 and 30 minutes. The probability density curve for this distribution is given below. 1) Is waiting time a discrete or continuous random variable? 2) What is the area of this entire rectangle? 3) What numbers are represented by a, b and c (note:...

  • a) Say you wait for the bus on two independent days. What is the probability that...

    a) Say you wait for the bus on two independent days. What is the probability that you wait more than 20 minutes on both days? What about the probability of waiting more than 20 minutes on just one of the days? 3. You are to wait for a bus to arrive. The bus arrives every 30 minutes, but you dont know the exact time it will arrive. Thus, you can wait any time between 0 and 30 minutes, and you...

  • 2. The University of Southwest Arizona provides bus transportation services to students while they are on...

    2. The University of Southwest Arizona provides bus transportation services to students while they are on campus. A bus arrives at the North Main Street and College Drive stop every 30 minutes, between 6 in the morning and 11 at night during the week. Students arrive at the stop at random times. The time a student waits has a uniform distribution of 0 to 30 minutes. A. Draw a graph of the distribution. B. Show that the area of this...

  • Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a)...

    Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a) What is the probability that you have to wait longer than 10? (b) Given you already waited 10 minutes, what is the probability that you have to wait for another 10 more minutes? (c) Let X be exponentially distributed with parameter 1/u. Prove that P(X >a+b|X >a)=P(X >b)

  • 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 20 to 41 minutes. Let X denote the time until the next bus departs. (3%) The distribution is and is . (3%) The density function for X is given by f(x)=    , with    ≤X≤ . (3%) The mean of the distribution is μ=    . (3%) The standard deviation of the distribution is σ=    . (3%) The probability that...

  • Problem 8 The time (in minutes) until the next bus departs a major bus depot follows...

    Problem 8 The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 30 to 48 minutes. Let X denote the time until the next bus departs. a. The distribution is Uniform and is continuous b. The mean of the distribution is u = 39 c. The standard deviation of the distribution is 0 = d. The probability that the time until the next bus departs is between 30 and 40 minutes is...

  • You are waiting at the bus stop for a bus, which arrives every X minutes, where...

    You are waiting at the bus stop for a bus, which arrives every X minutes, where X is a random variable with an exponential PDF, and a mean of 30 minutes. You have been already waiting for 10 minutes. What is the probability that you will wait for 20 more minutes, given that you have already been waiting for 10 minutes?

  • suppose X is a random variable best described by a uniform probability distribution with a=30 and...

    suppose X is a random variable best described by a uniform probability distribution with a=30 and b=50 find p(30

  • Andrew finds that on his way to work his wait time for the bus is roughly...

    Andrew finds that on his way to work his wait time for the bus is roughly uniformly distributed between 6 minutes and 14 minutes. One day he times his wait and write down the number of minutes ignoring the seconds. 0.12 0.1 0.08 0.06 0.04 0.02 13 6 7 8 9 10 11 12 Wait time measured in minutes rounded down What is the probability that Andrew waits for 9 minutes? P(X = 9) = Preview What is the probability...

  • For a passenger who arrives at a certain bus stop at a random moment in​ time,...

    For a passenger who arrives at a certain bus stop at a random moment in​ time, the time spent waiting for the bus is uniformly distributed from 0 to 9 minutes. What is the probability someone who arrives at this bus stop at a random moment will wait at least 7 minutes for the​ bus? (Round to the nearest tenth of a​ percent.)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT