shondi
07.03.2020 •
Mathematics
A random variable X follows the continuous uniform distribution with a lower bound of −2 and an upper bound of 16. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) c. Calculate P(X ≤ 1). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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Ответ:
a. Height=0.0555
b. Mean=7
SD=4.0415
c. P(x≤1)=0.1665
Step-by-step explanation:
a. If we have a continous uniform distribution, we have a density function that is a constant:
In the other hand, the cumulative density function across the entire region should be one:
Then the height C of the density function is 0.0555.
b. The mean of this distribution is:
The standard deviation of this distribution is:
c.
Ответ:
52
Step-by-step explanation:
=