A square board was attached to a wall. The board was divided by four squares and each square was colored either black or white.
1 answer:
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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:
Answer:
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
b=1/4 so plug that in our expression.
Let plug in 1,512.
So our function is