Question

Determine the mean and variance of a random variable with
uniform distribution in the interval **[a; b**] ; with
**b>a** real constants.

**Note: in this question if you want to simply display the
mean and variance expressions, but the deduction of
them.**

Answer #1

please like)

A random variable Y has a uniform distribution over the
interval (θ1, θ2). Derive
the variance of Y.
Find E(Y)2 in terms of (θ1, θ2).

X is a continuous uniform variable over the interval [-2,2]
a. find mean, variance, and standard deviation
b.value of x such that P(-x<X<x) = 0.9
c. cumulative distribution function

Consider the following question and determine if the random
variable X is Continuous or
Discrete. Select a distribution to use
from the options to find the exact probability in question. Select
either Uniform, Binomial,
Poisson, Normal, or
Exponential. Do not solve the problem simply
explain how you arrived at your conclusion when selecting the
random variable and the selected distribution.
Question:
You have taken a sample from a batch of parts and have averaged
the diameter of the parts in...

Let X be a random variable of uniform distribution over the
interval [−1, 1]. Calculate Monte Carlo estimate (in the form of a
confidence interval
asymptotic level 95%) of E [f (X)] for f (x) = e^x
Assume number of simulations to any number.

A Lee uniform random variable (L), which is a continuous uniform
random variable with a mean of 0 and a standard deviation of 1.
What is the equation for a Lee transformation, which transforms the
continuous uniform random variable X~U(t, w) into L?

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...

Find the mean, the variance, and the standard deviation of the
given probability distribution.
The random variable X is the number of shoes sold by a retail
sales associate in a single month at the Shoe Stop
Alley.
x
P(x)
1
0.12
2
0.27
3
0.38
4
0.14
5
0.09
A. Can you determine based on the table above if it is a
probability distribution?
B. If it is, find the mean.
C. If it is, find the variance.
D.If...

(A random variable ? has a binomial distribution with
mean 2.79 and variance 1.9251)
please find this ?(?≤3).

Let X represent a continuous random variable with a Uniform
distribution over the interval from 0 to 2. Find the following
probabilities (use 2 decimal places for all answers): (a) P(X ≤
1.92) = (b) P(X < 1.92) = (c) P(0.22 ≤ X ≤ 1.56) = (d) P(X <
0.22 or X > 1.56) =

Suppose that X has a continuous uniform distribution
over the interval 2.3≤x≤10.3. Determine
the following:
Find the probability mass distribution.
Evaluate the mean.
Evaluate the variance.
Evaluate the standard deviation.
Find P(7≤X)
Find the P(4≤X≤7)

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