Question

In: Statistics and Probability

A random variable X follows the continuous uniform distribution with a lower bound of ?8 and...

A random variable X follows the continuous uniform distribution with a lower bound of ?8 and an upper bound of 11.

a.	What is the height of the density function f(x)? (Round your answer to 4 decimal places.)

f(x)

b.	What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.)


Mean
Standard deviation

c.	Calculate P(X ? ?6). (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.)

P(X ? ?6)

Expert Solution

Given,

Then, the density function f(x) sholud be like

Hence, the height of density function should be

(b) The mean of the distribution is given by

Similarly,

Hence, the standard deviation of the distribution is

(c)

orchestra answered 2 years ago

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