Question

Determine the mean and variance of the random variable: f(x) = 0.0025x - 0.075 for 30...

Determine the mean and variance of the random variable:

f(x) = 0.0025x - 0.075 for 30 < x < 50 and f(x) = -0.0025x + 0.175 for 50 < x < 70

The answers should be: μ = 2, σ2= 4 But please show all work to come to this conclusion! Thank you!

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

Homework Answers

Answer #1

The mean is

----------------------

Now

So variance will be

Hence,

Note: For the given pdf random X has range between 30 and 70 so mean of X must be between 30 and 70. It cannot be 2.

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
If x is a binomial random variable, compute the mean, the standard deviation, and the variance...
If x is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) n=4,p=0.7 μ= σ2= σ= (b) n=3,p=0.7 μ= σ2= σ= (c) n=5,p=0.4 μ= σ2= σ= (d) n=5,p=0.8 μ= σ2= σ=
Let X be a random variable with a mean distribution of mean μ = 70 and...
Let X be a random variable with a mean distribution of mean μ = 70 and variance σ2 = 15. d) Imagine a symmetric interval around the mean (μ ± c) of the distribution described above. Find the value of c such that the probability is about 0.2 that X is in this interval. Please explain how to get the answer
Suppose X is a normally distributed random variable with mean μ = 10 and variance σ2...
Suppose X is a normally distributed random variable with mean μ = 10 and variance σ2 = 4. Find P(9 < X < 12).
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find...
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find P(X = 4). ii) Let X equal the larger outcome when a pair of four-sided dice is rolled. The pmf of X is f(x) = (2x - 1/ 16) ; x = 1; 2; 3; 4. Find the mean, variance and standard deviation of X. iii) Let μ and σ^2 denote the mean and variance of the random variable able X. Determine E [(X...
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random...
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random sample of n = 50 is obtained with a sample mean, X-Bar of 180. What is the probability that μ is between 198 and 211? What is Z-Score1 for μ greater than 198?
Let the random variable X have a discrete uniform distribution on the integers 6 ≤ x...
Let the random variable X have a discrete uniform distribution on the integers 6 ≤ x ≤ 12. Determine the mean, μ, and variance, σ2, of X. Round your answers to two decimal places (e.g. 98.76). μ = σ2 =
Let the random variable X have a discrete uniform distribution on the integers 1 ≤ x...
Let the random variable X have a discrete uniform distribution on the integers 1 ≤ x ≤ 7. Determine the mean, μ, and variance, σ2, of X. Round your answers to two decimal places (e.g. 98.76). μ = σ2 =
Let X be a Gaussian random variable with mean μ and variance σ^2. Compute the following...
Let X be a Gaussian random variable with mean μ and variance σ^2. Compute the following moments: Remember that we use the terms Gaussian random variable and normal random variable interchangeably. (Enter your answers in terms of μ and σ.) E[X^2]= E[X^3]= E[X^4]= Var(X^2)= Please give the detail process of proof.
Determine the mean and variance of the random variable with the probability density function f(x)=1.6(1-.8x), 0<x≤1.25
Determine the mean and variance of the random variable with the probability density function f(x)=1.6(1-.8x), 0<x≤1.25
Determine the mean and variance of the random variable with the following probability mass function. f...
Determine the mean and variance of the random variable with the following probability mass function. f left-parenthesis x right-parenthesis equals left-parenthesis 512divided by 73right-parenthesis left-parenthesis 1 divided by 8right-parenthesis Superscript x Baseline comma x equals 1,2,3 Round your answers to three decimal places (e.g. 98.765). Mean = Entry field with incorrect answer now contains modified data Variance = Entry field with incorrect answer now contains modified data
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT