15. The following density function describes a random variable X. f(x) = (x/81) if 0

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15. The following density function describes a random variable X. f(x) = (x/81) if 0<x<9 and
f(x)= (18-x)/81 if 9<X<18.
a. Draw a graph of the density function and then use it to find the probabilities
below:
i.
ii.
iii.
iv.
Find the probability that X lies between 1 and 8.
Find the probability that X lies between 8 and 11.
Find the probability that X is less than 10.
Find the probability that X is greater than 7.
Transcribed Image Text:15. The following density function describes a random variable X. f(x) = (x/81) if 0<x<9 and f(x)= (18-x)/81 if 9<X<18. a. Draw a graph of the density function and then use it to find the probabilities below: i. ii. iii. iv. Find the probability that X lies between 1 and 8. Find the probability that X lies between 8 and 11. Find the probability that X is less than 10. Find the probability that X is greater than 7.
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