A random variable X follows the continuous uniform distribution with a lower bound of -4 and an upper bound of 18. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) f(x) 0.0455 b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation P(XS-2) 7.00 6.35 c. Calculate P(XS-2). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

MATLAB: An Introduction with Applications
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A random variable X follows the continuous uniform distribution with a lower bound of -4 and an upper bound of 18.
a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.)
f(x)
0.0455
b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.)
Mean
Standard deviation
P(X ≤ -2)
7.00
6.35
c. Calculate P(X ≤-2). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Transcribed Image Text:A random variable X follows the continuous uniform distribution with a lower bound of -4 and an upper bound of 18. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) f(x) 0.0455 b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation P(X ≤ -2) 7.00 6.35 c. Calculate P(X ≤-2). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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