In this exercise, determine whether a probabilitydistribution is given. In the case where a probability distribution is not described, identify the requirements that are not satisfied. In the case where a probability distribution is described, find its means and standard deviation.

Mortality Study

For a group of four men, the probability distribution for the number x who live through the next year is as given in the accompanying table.

x P(x)

0 0.0000

1 0.0001

2 0.0006

3 0.0387.

4 0.9606

(a) Since the sum total of the P(x) values = 1, the given distribution is a probability distribution.

(b) …

A complete, neat and step-by-step solution is provided to determine whether a probability distribution is given. Also finds the mean and standard deviation.