Concept explainers
The uniform
f(x) = 1/30,000 , 0, $200,000 ≤ x ≤ $230,000 elsewhere
The graph of this distribution is a rectangle, which has an area equal to the width multiplied by the height. Recall that the height is given in the probability distribution. That is, the height of this rectangle is 1/30,000.
The probability statement is P(x < $212,000). Since this distribution is only valid for values of x between $200,000 and $230,000, the rectangle representing this probability will be between 200,000 and 212,000, giving a rectangle width of _______________
Find the area of this rectangle, which will give P(x < $212,000).
P(x < $212,000) = width · height
= (_____________) (1/30,000)
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