The coordinate plane below shows a triangular region at sea between three islands. Each unit on the coordinate plane represents
10 miles
SEARCH REGION
sty
7
А
6
5
4
2
C
-8-7-6-5-4-3-2-191
3 4 5 6 7 8 >
B
-345
B
4
-5
-6
H=10 miles
-81
What are the area and perimeter of the triangular region? Choose all that are correct
SEARCH REGION
sty
7
А
6
5
4
2
C
-8-7-6-5-4-3-2-191
3 4 5 6 7 8 >
B
-345
B
4
-5
-6
H=10 miles
-81
What are the area and perimeter of the triangular region? Choose all that are correct
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: