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antiseptic1488
[7]
2 years ago
6
The graph shows a probability distribution. What is P(1.5 ≤ X ≤ 3)? Enter your answer, as a decimal, in the box.
Mathematics
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answer:
Bumek
[7]
2 years ago
5
0
The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus,
<span>
P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
</span>
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