Question

The probability distribution for a parking fee is the following function:

f(x)=40,000/x5 for x>10

What is the standard deviation of the fee?

Answer #1

TOPIC:Standard deviation of random variables.

Find the standard deviation of the distribution that has the
following probability density function:
f(x)={ 2x, 0<x<1 0, O.W.

1) Consider the function.
f(x) = x5 − 5
(a) Find the inverse function of f.
f −1(x) =
2)
Consider the function
f(x) = (1 + x)3/x.
Estimate the limit
lim x → 0 (1 + x)3/x
by evaluating f at x-values near 0. (Round
your answer to five significant figures.)
=

The probability distribution function for the random variable X,
the lead content in a liter of gasoline is: (a) Prove that f(x) IS
a probability distribution function (b) Find the expected value of
lead content in a liter of gasoline (c) Find the standard deviation
of the lead content in a liter of gasoline (d) Find the equation
for the cumulative distribution function of X f(x) = 12.5x – 1.25,
0.10 < x < 0.50 0, elsewhere

Let X have the distribution that has the following probability
density function:
f(x)={2x,0<x<1
{0, Otherwise
Find the probability that X>0.5.
Why is the probability 0.75 and not 0.5?

Given the following probability function:
.10 x = 5
f(x) = . 20 x = -2, 8, 10
.30 x = 6
A. Calculate f(x) and make an appropriate drawing of f(x) and
F(x) (15 pts)
B. P (6 < X < 8) (5 pts)
C. P (x > 7) (5 pts)
D. P (x < 8) (5 pts)
E. The average of X (5 pts)
F. The fashion of X (5 pts)
G. The variance of X (10 pts)

Differentiate the function.
a) f(x) = x5 − 4x + 5
b) h(x) = (x − 5)(4x + 13)
c) B(y) = cy−9
d) A(s) = −14/s^5
e) y = square root/x (x-8)
f) y = 8x^2 + 2x + 6 / square root/x
g) g(u) = square root/6u + square root/5u
h) H(x) = (x + x^−1)^3

The random variable X has probability density function:
f(x) =
ke^(−x) 0 ≤ x ≤ ln 2
0 otherwise
Part a: Determine the value of k.
Part b: Find F(x), the cumulative distribution function of X.
Part c: Find E[X].
Part d: Find the variance and standard deviation of X.
All work must be shown for this question. R-Studio should not be
used.

The discrete random variable X has the following probability
distribution:
x
-10
0
5
10
p(x)
0.20
0.40
?
.10
Which one of the following correctly gives the value of the mean
and standard deviation of X? (explain/steps please)

Graph f and F the probability distribution function and the
cumulative distribution function when f(-2) = f(2) = 1/8 and, f(-1)
= f(1) = 3/8
Need this asap thank you!!!

13. If X follows the following cumulative probability
distribution:
0 X≤5
0.10 (X-5) 5≤X≤7
F (X) 0.20 + 0.20 (X-7) 7≤X≤11
1 X≥11
a. Calculate a probability function f (X) (10 pts)
b. Calculate the expected value of X and the Variance of X. (15
pts)
c. Calculate the probability that X is between 6.0 and 8.80. (10
pts)
d. Calculate the percentile of 70 percent. (10 pts)
e. Calculate the expected g (x), if g (X) = 2X-10 (15...

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