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Orlov [11]
3 years ago
9

1) The graph shows a probability distribution.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

1. P(X is the area under the curve to the left of x=5, which is a trapezoid with "bases" of length 2 and 5 and "height" 0.2, so

P(X

2. Find the area under the curve for each of the specified intervals:

P(X\le2)=\dfrac{2\cdot0.2}2=0.2 (triangle with base 2 and height 0.2)

P(X\ge4)=\dfrac{1\cdot0.4}2=0.2 (triangle with base 1 and height 0.4)

P(2\le X\le4)=\dfrac{0.2+0.4}2\cdot2=0.6 (trapezoid with "bases" 0.2 and 0.4 and "height" 2)

P(1\le X\le3)=\dfrac{0.1+0.3}2\cdot2=0.4 (trapezoid with "bases" 0.1 and 0.3 and "height" 2)

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