Answer:
(6, -3)
Step-by-step explanation:
I will solve this system using elimination.
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I will multiply by 2 so that -x becomes -2x.
2(-x + 2y = -12)
Distribute.
-2x + 4y = -24
Now subtract this from the other equation.
2x + 3y = 3
<u>-2x + 4y = -24</u>
7y = -21
Divide both sides by 7.
y = -3
Now that we have the value of y, plug it into the original equation.
-x + 2(-3) = -12
Simplify.
-x - 6 = -12
Add 6 to both sides.
-x = -6
Divide both sides by -1.
x = 6
(6, -3)
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