Below is a probability distribution for the number of failures in an elementary statistics course.

X	0	1	2	3	4
P(X=x)	0.40	0.16	?	0.09	0.15

Determine the following probabilities:

a. P(X = 2) =

b. P(X < 2) =

c. P(X 2) =

d. P(X > 2) =

e. P(X = 1 or X = 4) =

f. P(1 X 4) =

A florist determines the probabilities for the number of flower arrangements they deliver each day.

x	19	20	21	22	23
P(x)	0.24	0.23	0.33	0.12	0.08

Find the mean, variance, and standard deviation of the distribution rounded to 4 decimal places.

Mean =

Variance =

Standard Deviation =

Approximately how many arrangements should the florist expect to deliver each week, rounded to the nearest whole number?