The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute the expected number of flaws and the standard deviation of flaws.

Flaws

Probability

0

0.4531

0.307

2

0.1223

0.080

4

0.038

(Round the intermediate values and final answers to 3 decimal places, e.g. 0.215.)

Expected number = (enter an expected number rounded to 3 decimal places)

Standard deviation = (enter the standard deviation rounded to 3 decimal places)