SOLUTION: PLease help me solve this of simple way. Thank You. Suppose that random variable X is uniformly distributed between 6 and 22. Draw a graph of the density function, and then use

Algebra ->  Probability-and-statistics -> SOLUTION: PLease help me solve this of simple way. Thank You. Suppose that random variable X is uniformly distributed between 6 and 22. Draw a graph of the density function, and then use       Log On


   



Question 1119883: PLease help me solve this of simple way. Thank You.
Suppose that random variable X is uniformly distributed between 6 and 22. Draw a graph of the density function, and then use it to help find the following probabilities:
P(X<14.5) =

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Assuming that "uniformly distributed" means the variable is continuous rather than discrete, the probability function is simply y = 1/x, where x is the range of the data.

A graph of such a function is of little interest....

The probability that x is less than 14.5 is simply the length of the interval from 6 to 14.5, divided by the length of the whole range:

%2814.5-6%29%2F%2822-6%29+=+8.5%2F16+=+17%2F32