Question

Use Appendix B.4 is a table of random numbers that are uniformly distributed. Hence, each digit from 0 through (including) 9 has the same likelihood of occurrence. (Round your answers to 2 decimal places.) Compute the population mean and standard deviation of the uniform distribution of random numbers.

Answer 1

Answer:

The population mean and standard deviation of the uniform distribution of random numbers are 4.5 and 2.60 respectively.

Step-by-step explanation:

The mean and standard deviation of a Uniform distribution is:

$\mu=\frac{a+b}{2}\\\\\sigma=\sqrt{\frac{(b-a)^{2}}{12}}$

Here the value of a and b are:

a = 0

b = 9

Compute the population mean and standard deviation of the uniform distribution of random numbers as follows:

$\mu=\frac{a+b}{2}=\frac{0+9}{2}=4.5\\\\\sigma=\sqrt{\frac{(b-a)^{2}}{12}}=\sqrt{\frac{(9-0)^{2}}{12}}=2.60$

Thus, the population mean and standard deviation of the uniform distribution of random numbers are 4.5 and 2.60 respectively.