4. The daily amount of red bull, in liters, dispensed by a machine is a random...
4. The daily amount of red bull, in liters, dispensed by a machine is a random variable X having a continuous uniform distribution with 4< x< 8.
Find the probability that on a given day the amount of red bull dispensed by this machine will be.
More than 7 liters or less than 5 liters More than 6.4 liters
What is the average daily amount of red bull in liters dispensed by this machine
Homework Answers
X ~ U(4, 8)
A) P(X > 7 or X < 5) = P(X > 7) + P(X < 5)
= (8-7)/(8-4) + (5-4)/(8-4)
= 0.5
B) P(X > 6.4) = (8-6.4)/(8-4) = 0.4
C) average = (4 + 8) / 2 = 6
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