Here is a probability density function for a random variable x: The following fa

Question

Here is a probability density function for a random variable x:
The following facts are known:
P{-2<X<-1} = 1/6
P{-1<x<0}= 1/3
P{0<x<2} = ½
That is, the random variable x is between -2 and -1 with probability 1/6, between -1 and 0 with probability 1/3, and between 0 and 2 with probability ½.
A. All the line in the probability density function are perfectly flat. (They have slope zero) Carefully and completely explain why the height of the lone above the region from zero to two is exactly equal to ¼.
B. Find a numerical value for the probability that X is between -½ and 1.

Explanation / Answer

A. The probability that 0

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