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Answer:
The expectation the instructor to send each day
E(X) = 3.65
Step-by-step explanation:
Given data x : 0 1 2 3 4 5
P(X=x) : 0.05 0.05 0.1 0.1 0.4 0.3
The given data satisfy the two conditions
I) Given all probabilities are p₁(x) ≥0
ii) sum of all probabilities is equal to one
0.05 + 0.05 + 0.1 + 0.1 + 0.4 +0.3 =1
Therefore given data is discrete probability distribution
<u>Expectation</u> :-
suppose a random variable X assumes the values with respective probabilities
, then the Expectation or Expected value of X , denoted by E(X) = ∑pi xi
on simplification, we get
E(X) = 3.65
We can find the right angle of the triangle by finding the slope of the sides .
Any right angle makes an angle of 90 degrees and the lines are perpendicular .
For perpendicular lines product of slopes is -1.
In other words the slopes have opposite signs and are reciprocal .
Let us find the slopes of AB,BC,CA.
Slope of two points can be found by the difference in y values divided by different in x values
Slope of AB=
Slope of BC=
Slope of CA=
The slopes of AB and CA are reciprocal of each other with opposite signs or we can say their product is -1 so they are perpendicular.
Angle A is the common angle to these sides so we say angle A is the right angle