Considering the given probability distributions, distribution D is valid.
<h3>When a probability distribution is valid?</h3>
A probability distribution is valid if:
- There are no negative probabilities.
- The sum of all probabilities is of 1.
In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.
More can be learned about probability distributions at brainly.com/question/23670007
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<span>Use formula: (a-b)</span>² = a² - 2ab + b²<span>
(r-1)</span>² = r² - 2r + 1
1 bar is $1.50 because $3 divide 2 is 1.50
c= 1.50b
1= $1.50
2= $3
3= $4.50
4= $6
Count the dots plotted here. There are four of them, right? What are the x-coordinates of those four dots: Answer: {-1, 0, 1, 2}.
Reject answers B and C because none of the four dots have x-coordinate -3.
Reject answer A because this set would not include x=-1 or x=2.
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
brainly.com/question/1972490
