If a random variable has a uniform distribution over the range
10 ≤X≤ 20, what is...
If a random variable has a uniform distribution over the range
10 ≤X≤ 20, what is the probability that the random variable takes a
value in the range [13.75, 17.25]?
A random variable X follows a uniform distribution on the
interval from 0 to 20. This distribution has a mean of 10 and a
standard deviation of 5.27. We take a random sample of 50
individuals from this distribution. What is the approximate
probability that the sample mean is less than 9.5
Let X be a continuous random variable that has a uniform
distribution between 0 and 2 and let the cumulative distribution
function F(x) = 0.5x if x is between 0 and 2 and let F(x) = 0 if x
is not between 0 and 2. Compute
1. the probability that X is between 1.4 and 1.8
2. the probability that X is less than 1.2
3. the probability that X is more than 0.8
4. the expected value of X...
A random variable X follows the continuous uniform
distribution with a lower bound of ?8 and an upper bound of 11.
a.
What is the height of the density function
f(x)? (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 P(X ? ?6). (Round
intermediate calculations to 4 decimal places and final answer to...
1) A discrete random variable X has the following
probability distribution:
x
13
18
20
24
27
p(x)
0.22
0.25
0.2
0.17
0.16
Compute each of the following quantities (give the exact
numbers):
(a) P(18)=
(b) P(X>18)=
(c) P(X?18)=
(d) The mean ? of X is
(e) The variance ?2 of X is (write all decimal points)
(f) The standard deviation ? of X is (use 4 decimal points)
2) Borachio works in an automotive tire factory. The
number X...
1. Suppose x is a random variable best described by a uniform
probability distribution
with and Find
2. Suppose x is a random variable best described by a uniform
probability distribution
with and Find
3. Suppose x is a random variable best described by a uniform
probability distribution
with and Find
4. Suppose x is a random variable best described by a uniform
probability distribution
with and Find
5. Suppose x is a random variable best described by a uniform
probability distribution
with and Find
6. Suppose x is a...
The random variable X follows a normal distribution with a mean
of 10 and a standard deviation of 3.
1.
What is P(7≤X≤13)? Include 4 decimal places in your answer.
2.
What is the value of k such that P(X>k)=0.43? Include 2
decimal places in your answer.
2. Let X be a uniform random variable over the interval (0, 1).
Let Y = X(1-X). a. Derive the pdf for Y . b. Check the pdf you
found in (a) is a pdf. c. Use the pdf you found in (a) to find the
mean of Y . d. Compute the mean of Y by using the distribution for
X. e. Use the pdf of Y to evaluate P(|x-1/2|<1/8). You cannot
use the pdf for X. f. Use...
X is an independent standard uniform random variable X ∼
Uniform(0, 1)
Y is an independent standard uniform random variable Y ∼
Uniform(0, 1)
U = min(X, Y )
V = max(X, Y )
Find the correlation coefficient of V and U , ρ(U, V) =
Correlation(U, V).