HomeworkLib
Question

Let random variable X follow a triangular distribution with lower bound a = 0, most likely...

Let random variable X follow a triangular distribution with lower bound a = 0, most likely value m = 9.2, and upper bound b = 16.

Find P(X > 3.0).

Round your answer to three decimal places of accuracy.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Solution :

Given that,

a = 0

b = 16

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

P(x >3.0 ) = (16 - 3.0) / (16 - 0 )

= 13 / 16

= 0.812

0 0
Add a comment
Know the answer?
Add Answer to:
Let random variable X follow a triangular distribution with lower bound a = 0, most likely...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A random variable Xfollows the continuous uniform distribution with a lower bound of-3 and an upper...

    A random variable Xfollows the continuous uniform distribution with a lower bound of-3 and an upper bound of 16. a. What is the height of the density function fo? (Round your answer to 4 decimal places.) t(x) 0.0526 b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation 6.50 5.48 c. Calculate PXs-1). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal...

  • 1 Check my A random variable X follows the continuous uniform distribution with a lower bound...

    1 Check my A random variable X follows the continuous uniform distribution with a lower bound of - 7 and an upper bound of 16. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) 14.28 points [ f(x) eBook Print References b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation c. Calculate PX s-6). (Round intermediate calculations to at...

  • A random variable Xfollows the continuous uniform distribution with a lower bound of-3 and an upper...

    A random variable Xfollows the continuous uniform distribution with a lower bound of-3 and an upper bound of 16. a. What is the height of the density function fx? (Round your answer to 4 decimal places.) f(x) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation c. Calculate PXs-1). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) POXS-1)

  • Problem 2 Prove the following bound known as the Chemoff bound: Let X be a random variable with moment generating funct...

    Problem 2 Prove the following bound known as the Chemoff bound: Let X be a random variable with moment generating function X (s) defined for s > 0, Then for any a and any s > 0, Hint: To prove the bound apply Markov's inequality with X replaced by e) Apply the се Chemoff bound in case X is a standard normal random variable and a > 0. Find the value of s >0 that gives the sharpest bound, i.e,...

  • X ~ N(60, 11). Suppose that you form random samples of 25 from this distribution. Let...

    X ~ N(60, 11). Suppose that you form random samples of 25 from this distribution. Let X-bar be the random variable of averages. Let ΣX be the random variable of sums. a. Give the distribution of X bar (Enter an exact number as an integer, fraction, or decimal.) b. find the probability. (Round your answer to four decimal places.) P(X < 60) = c. Find the 40th percentile. (Round your answer to two decimal places.) d. find the probability. (Round...

  • 5. Let X > 0 be a random variable with EX = 10 and EX2 =...

    5. Let X > 0 be a random variable with EX = 10 and EX2 = 140. a. Find an upper bound on P(X > 14) involving EX using Markov's inequality. b. Modify the proof of Markov's inequality to find an upper bound on P(X > 14) in- volving EX? c. Compare the results in (a) and (b) above to what you find from Chebyshev's inequality.

  • Let the random variable X follow a normal distribution with a mean of 61.7 and a...

    Let the random variable X follow a normal distribution with a mean of 61.7 and a standard deviation of 5.2. What is the value of A such that P(59 < X < A) = 0.54?

  • 9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the...

    9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)

  • Let x be a random variable that represents the batting average of a professional baseball player....

    Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.290 0.340 0.248 0.367 0.269 y 3.1 7.6 4. 0 8 .6 3.1 11.1 (a) Find Ex, 2y, Ex?, y2, Exy, and r. (Round r to three decimal places.) (b) Use...

  • Let X be the random variable with the geometric distribution with parameter 0 < p <...

    Let X be the random variable with the geometric distribution with parameter 0 < p < 1. (1) For any integer n ≥ 0, find P(X > n). (2) Show that for any integers m ≥ 0 and n ≥ 0, P(X > n + m|X > m) = P(X > n) (This is called memoryless property since this conditional probability does not depend on m.)

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