I set a goal to drink 64 ounces of water day.If i drink 10 1/3 ounces in the morning,15 1/2 ounces at noon,and 20 5/6 at dinner
1 answer:
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we know that
Step
in the right triangle XYZ
Applying the Pythagorean Theorem
Find the value of ZY
Step
in the right triangle XYZ
Find tan°
we know that
in this problem
opposite side angle is ZY
adjacent side angle is XZ
so
therefore
the answer is
Answer:
In order to find the variance we need to find first the second moment given by:
And replacing we got:
The variance is calculated with this formula:
And the standard deviation is just the square root of the variance and we got:
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X
X 0 1 2 3
P(X) 0.92 0.03 0.03 0.02
We can calculate the expected value with the following formula:
And replacing we got:
In order to find the variance we need to find first the second moment given by:
And replacing we got:
The variance is calculated with this formula:
And the standard deviation is just the square root of the variance and we got: