Question

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

Answer #1

Suppose that Upper X has a discrete uniform distribution f
left-parenthesis x right-parenthesis equals StartLayout
left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals
1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random
sample of n equals 35 is selected from this population. Find the
probability that the sample mean is greater than 2.1 but less than
2.6. Express the final answer to four decimal places (e.g. 0.9876).
The probability is

Determine the mean and variance of the random variable with the
probability density function
f(x)=1.6(1-.8x), 0<x≤1.25

A comparative balance sheet for Cullumber Corporation is
presented below. December 31 Assets 2020 2019 Cash $72,080 $23,320
Accounts receivable 86,920 69,960 Inventory 180,200 200,340 Land
75,260 116,600 Equipment 296,800 212,000 Accumulated
depreciation–equipment (78,440) (44,520) Total $632,820 $577,700
Liabilities and Stockholders’ Equity Accounts payable $36,040
$49,820 Bonds payable 159,000 212,000 Common stock ($1 par) 173,840
173,840 Retained earnings 263,940 142,040 Total $632,820 $577,700
Additional information: 1. Net income for 2020 was $164,300; there
were no gains or losses. 2. Cash...

1. Let X be a discrete random variable with the probability mass
function P(x) = kx2 for x = 2, 3, 4, 6.
(a) Find the appropriate value of k.
(b) Find P(3), F(3), P(4.2), and F(4.2).
(c) Sketch the graphs of the pmf P(x) and of the cdf F(x).
(d) Find the mean µ and the variance σ 2 of X. [Note: For a
random variable, by definition its mean is the same as its
expectation, µ = E(X).]

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!

Assume the random variable X is normally distributed with
mean
mu equals 50
and standard deviation
sigma equals 7
.
Compute the probability. Be sure to draw a normal curve with the
area corresponding to the probability shaded.
Upper P left parenthesis Upper X greater than 39 right
parenthesis
LOADING...
Click the icon to view a table of areas under the normal
curve.
Which of the following normal curves corresponds to
Upper P left parenthesis Upper X greater than 39...

Let X be a continuous random variable with the probability
density function f(x) = C x, 6 ≤ x ≤ 25, zero otherwise.
a. Find the value of C that would make f(x) a valid probability
density function. Enter a fraction (e.g. 2/5): C =
b. Find the probability P(X > 16). Give your answer to 4
decimal places.
c. Find the mean of the probability distribution of X. Give your
answer to 4 decimal places.
d. Find the median...

Consider a discrete random variable X with probability mass
function P(X = x) = p(x) = C/3^x, x = 2, 3, 4, . . . a. Find the
value of C. b. Find the moment generating function MX(t). c. Use
your answer from a. to find the mean E[X]. d. If Y = 3X + 5, find
the moment generating function MY (t).

X is a normally distributed random variable with a mean of 100
and a variance of 144. Use Excel to find the value
of X that gives a probability of 10% on the right.
In other words, find Xo such that P(X > Xo) =
0.10. Write your answer to 4 decimal places.
A.
115.3672
B.
115.3786
C.
115.3600
D.
115.3721

Mean, Variance and Standard Deviation of a Continuous Random
Variable
37. Consider the density function (?)=3? 2 on the interval
[0,1]. Find the expected value E(X), the variance Var(X) and the
standard deviation σ(X) for the density function and round your
answers to four decimal places [Clearly state the method you used
and how you calculated your result if you used the calculator]
38.Find the median of the random variable with the probability
density function given in question 37 round...

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