Outcome 0 1 2 3 Probability 0.25 0.25 0.25 0.25 Which is the expected value of the random variable with the given probability distribution? a. 0 c. 1.5 b. 1 d. 2 Please select the best answer from the choices provided

1.5

Step-by-step explanation:

.25*0+1*.25+2*.25+3*.25=1.5

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204