Answer:
Mean = 15.15
Standard deviation = 0.6062
Step-by-step explanation:
We are given a uniform distribution of  quantity to be put in each bag.
Low and high filling weights:
14.1 pounds and 16.2 pounds
a = 14.1
b = 16.2
a) Mean:
[tex]\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{14.1+16.2}{2} = 15.15[/tex]
b) Standard Deviation:
[tex]\sigma = \sqrt{\displaystyle\frac{(b-a)^2}{12}}\\\\= \sqrt{\dfrac{(16.2-14.1)^2}{12}} = \sqrt{0.3675} = 0.6062[/tex]
