Question

I am trying to figure out the probability, expected value, variance, and standard deviation for a series of dice rolls. For example, if I roll a six-sided die in an attempt to roll a 1, and it takes me 13 rolls before a 1 appears, what are those answers? I believe I have figured out the probability equation:

P(P-1)^x where x is the number of rolls - 1 so for 13 rolls the probability would be: 1/6(1-1/6)^12 = .01864045

Is this the correct equation?

What equations would I need to find Expected Value, Variance, and Standard Deviation?

Answer #1

What is the meaning of variance and standard deviation? (I
understand how to calculate them, but understanding the concept
behind them is confusing.)
What happens if the variance calculated is the same as them
mean? What is the meaning behind these numbers? For example, you
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From the probability distribution given below, find the mean,
variance, standard deviation and expected value of the random
variable, X. Round your values for variance and standard deviation
to two decimal places (if necessary).
X
27
32
54
63
78
P(X)
5/18
1/4
1/12
2/9
1/6

Please solve the following showing all the steps.
Using the sample mean, variance, and standard deviation equations
with steps. I don't know how to do this and would like to
learn.
Also, is this considered a loaded dice?
Consider the roll of two dice. Let X be a random variable
representing the sum of the number of dots appearing on each of the
dice. The probabilities of each possible value of X are as
follows:
2
1/36
3
2/36
4...

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Calculate Expected Rate of Return, variance, standard deviation,
and coefficient variation. I am unsure of how to solve this
problem
Outcomes: Probability Return
Better than Expected: 0.15 0.45
As Expected: 0.55 0.2
Worse than Expected: 0.25 0.05
Poor: 0.05 -0.25

What are the expected value, variance and standard deviation of
the following probability distribution?
Number of Offices
Proportion of Students p(X)
0
0.12
1
0.18
2
0.26
3
0.24
4
0.13
5
0.07
E(X)
Var(X)

If you roll an eight sided die and x is the outcomes, the
probability distribution of x is
x
P(x)
1
1/8
2
1/8
3
4
5
6
7
8
Mean = x.p(x) =
Variance =
x2.px-μ2
=
Standard deviation =

A standard die has 6 side and the theoretical probability of
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spreadsheet?

What is the total probability of rolling a natural on the
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2/36
4/36
6/36
8/36
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5/36
6/36
5/11
6/11
Assume that rolling an 8 before a 7 will pay at 6-to-5 odds
net. Find the net payoff on a $5 wager.
$1.20
$5
$6
$11
Find the expected number of 5’s from 100...

I am trying to figure out how to find the test statistic using
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I understand how to populate the data in the formula. I just can't
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class) I need step by step directions if possible....

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