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3 years ago

The graph shows a probability distribution. What is P(X<5)

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note: The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:

(average length)·(width, which here is:

2 + 5

----------- · 0.02 = (7/2)(0.2) = 0.70

Thus, P(x < 5) = 0.70

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