The answer is (3,1), hope that helps
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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R * p = -37.8
Solve for either R or p.
R = -37.8/p
Now plug into R + p = 13.5
-37.8/p + p = 13.5
Solve for p.
After finding p, plug your p-value into either R + p or R*p to find R.
Take it from here.
Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
Divide across and just bring down the numbers
