Im not understanding what you are asking
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
Answer:
Associative property of addition
Step-by-step explanation:
To “associate” means to connect or join with something. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Answer:
Sub to lazer beam
Step-by-step explanation:
The area of the green region is of:
9 units².
<h3>How to obtain the area of the green region?</h3>
The base is composed by three equal segments, hence their lengths are given as follows:
AB = BC = CD = 9/3 = 3.
The heights are given as follows:
As they are proportional.
The green region is composed by:
- A rectangle of dimensions 3 and 2.
- A right triangle of sides 3 and 2.
The area of the rectangle is given by the multiplication of the dimensions, hence:
Ar = 3 x 2 = 6 units².
The area of the triangle is given by half the multiplication of the dimensions, hence:
At = 0.5 x 3 x 2 = 3 units².
Then the area of the green region is given by:
A = Ar + At = 6 + 3 = 9 units².
More can be learned about the area of a figure at brainly.com/question/25292087
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