Solve the square root of 2x-5=x-4
1 answer:
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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
y < 2/3x + 3
Explanation:
In the graph, the grey region corresponds to the region non-allowed by the inequality.
We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.
In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:
Choosing for example the points x=0 (which corresponds to y=3) and x=3 (which corresponds to y=5), we find
So, the equation of the line is
and so the correct inequality is