Question

The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is



 The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is 

   f(x) = 1/6 for x = 1, 2, 3, 4, 5, 6.

 What is the mean of the distribution of X?


 The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is 

  f(x) = 1/6 for x = 1, 2, 3, 4, 5, 6.

 What is the standard deviation of the distribution of X? 


3 0
Add a comment Improve this question Transcribed image text
Answer #1

....................Answer for forst part

and for standard deviation.

So Standard deviation of X is

rounded standard deviation is =1.71

Add a comment
Know the answer?
Add Answer to:
The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is
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
  • #5 please 2. Find the probability distribution function for the random variable representing picking a random real numb...

    #5 please 2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...

  • 3. The probability distribution of the discrete random variable X is f(x) = 2 x 1...

    3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...

  • 4. Suppose X has a discrete uniform distribution: the distribution function of X 5. A random...

    4. Suppose X has a discrete uniform distribution: the distribution function of X 5. A random variable Z has the pmf bclow. P (X-х,)-1 , is|2 n. Find 0 Pz(z) 0.20 0.16 0.4 a (1) What is thevalue of a ? (2) What is P(l S Z <3)? (3) What is Fz (1.7)? 6.

  • Q1) (20 Mark) The probability density function of a random variable X is given by: f(x)...

    Q1) (20 Mark) The probability density function of a random variable X is given by: f(x) Cx-2 x21 1) Find the value of C 2) Find the distribution function F(X) 3) Find P(X > 3) 4) Find the mean and the standard deviation of the distribution

  • Q1) (20 Mark) The probability density function of a random variable X is given by: f(x)...

    Q1) (20 Mark) The probability density function of a random variable X is given by: f(x) Cx-2 x21 1) Find the value of C 2) Find the distribution function F(X) 3) Find P(X > 3) 4) Find the mean and the standard deviation of the distribution

  • Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r=...

    Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r= 5, 6, 7, 8. 0, otherwise. A random sample of n = 45 is selected from this distribution. Find the probability that the sample mean is greater than 6.7. Round your answer to two decimal places (e.g. 98.76). P= the absolute tolerance is +/-0.01

  • 1. The continuous random variable X, has a uniform distribution over the interval from 23 to...

    1. The continuous random variable X, has a uniform distribution over the interval from 23 to 43. a) What in the probability density function in the interval between 23 to 43? 6. 7: Total : _ 16 14 /25 b) What is the probability that X is between 26 and 33? c) What is the mean of X? 2. Given that z is a standard normal random variable, a) what is the probability of z being greater than-1.53? b) if...

  • Show that the function f(x)=1/(x^2+π^2 ) can be taken as a probability density (distibution) function of...

    Show that the function f(x)=1/(x^2+π^2 ) can be taken as a probability density (distibution) function of a random variable X. Find p(X>π). Find also the cumulative distribution function F(x) of the random variable X. Find, finally, mean and standard deviation of the random variable X 1 Show that the function f(x) = can be taken as a probability density (distibution) x²+x² function of a random variable X. Find p(x > 1). Find also the cumulative distribution function F(x) of the...

  • In the following probability distribution, the random variable x represents the number of activities a...

    In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______  and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...

  • Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval...

    Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. Refer to Exhibit 6-1. The probability density function has what value Select one: O a in the interval between 20 and 28? 1.000 O b. C. 0.125 d. 0.050 Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over ase interval from 20 to 28 Refer to Exhibit 6-1. The probability that x will take on...

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