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?
Accepted Solution
A:
Answer:0.2,0.2,0.6Step-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]