Answer:
0.2,0.2,0.6
Step-by-step 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
[tex]\frac{1}{b-a } \\=\frac{1}{100} ,150\leq x\leq 250[/tex]
a) the probability a randomly selected value will be greater than 230
=[tex]\frac{250-230}{250-150} \\=0.20[/tex]
b) the probability a randomly selected value will be less than 170
=[tex]\frac{170-150}{250-150}\\=0.20[/tex]
c) the probability a randomly selected value will be between 170 and 230
=[tex]\frac{230-170}{250-150}\\=0.60[/tex]