A random variable X follows the uniform distribution with a lower limit of 550 a
ID: 3173873 • Letter: A
Question
A random variable X follows the uniform distribution with a lower limit of 550 and an upper limit of 600.
a.) calculate the mean for the distribution. (Round intermediate calculation for Standard deviation to 4 decimal places and final answer to 2 decimal places.)
b.) What is the probability that X is less than 560? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
a.) calculate the mean for the distribution. (Round intermediate calculation for Standard deviation to 4 decimal places and final answer to 2 decimal places.)
b.) What is the probability that X is less than 560? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Explanation / Answer
a)
We are given,
a = 550
b = 600
Mean = (a+b)/ 2 = (550+600)/2 = 575
Answer: 575
b)
P ( x <560)
= (560 -550)/(600-550)
= 10/50
= 0.2
Answer: 0.2
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