Let x denote the number of customers that arrive at a convenience store during any 30-minute interval. The following table lists the probability distribution of x.

x	0	1	2	3	4	5	6	7
P(x)	0.02	0.07	0.16	0.23	0.32	0.11	0.06	0.03

Calculate the mean and standard deviation for this probability distribution.