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antiseptic1488 [7]
3 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
1 answer:
Bumek [7]3 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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