savvycarroll savvycarroll
  • 08-04-2019
  • Mathematics
contestada

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

The graph shows a probability distribution What is PXlt5 class=

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altavistard
altavistard altavistard
  • 08-04-2019

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

      2

Thus, P(x < 5) = 0.70

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