SOLUTION: Suppose x is a uniform random variable with a = 10 and b = 80. Find P(x > 52). 0.9 0.6 0.1 0.4

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Question 1196813: Suppose x is a uniform random variable with a = 10 and b = 80. Find P(x > 52).

0.9

0.6

0.1

0.4

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

    P(x > 52) = %2880-52%29%2F%2880-10%29 = 28%2F70 = 2%2F5 = 4%2F10 = 0.4 = 40%.    ANSWER

Solved.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


NOTE: The problem should not be posted this way; without any context, we have to assume that a and b are the minimum and maximum values of the random variable. The problem only makes sense if that is the case -- but the problem should say so, instead of just saying a=10 and b=80.

The allowable range for the variable is from 10 to 80, a range of 70; the prescribed range for this problem is from 52 to 80, a range of 28. Since the distribution is uniform, the probability that x is greater than 52 is

28/70 = 2/5 = 40%.