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3 votes
A continuous random variable is uniformly distributed between 150 and 250.

(a) What is the probability a randomly selected value will be greater than 230​?
(b) What is the probability a randomly selected value will be less than 170​?
(c) What is the probability a randomly selected value will be between 170 and 230​?

User Daar
by
5.8k points

1 Answer

4 votes

Answer:

0.2,0.2,0.6

Explanation:

Given that a continuous random variable is uniformly distributed between 150 and 250.

We know that a uniform distribution between (a,b) has pdf as


(1)/(b-a ) \\=(1)/(100) ,150\leq x\leq 250

a) the probability a randomly selected value will be greater than 230

=
(250-230)/(250-150) \\=0.20

b) the probability a randomly selected value will be less than 170

=
(170-150)/(250-150)\\=0.20

c) the probability a randomly selected value will be between 170 and 230​

=
(230-170)/(250-150)\\=0.60

User Foster Bass
by
5.2k points
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