The volume of a triangular prism is V = 1/2lwh. So, in order to find x, plug in the values you know and solve:
Check all that apply to determine the following conversion.
1 answer:
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Answer:
a)
b)
c)
And the variance is given by:
And the deviation would be
And the variance is given by:
And the deviation would be
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
For this case we have the following info:
B 0 1 2 3
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T 10 20 30 40
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P 0.3 0.5 0.15 0.05
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And we can calculate the expected value for the random variable B like this:
Part b
Similar to part a we can find the expected value for the random variable T like this:
Part c
In order to find the variance for B we need to calculate the second moment given by:
And the variance is given by:
And the deviation would be
Similar for the random variable T we have:
And the variance is given by:
And the deviation would be