In a chemical process, three bottles of a standard fluid are emptied into a larger container. A study of the individual bottles shows that the mean value of the contents is 13 ounces and the standard deviation is 0.07 ounces. If three bottles form an i. i.d. sample,
(a) Find the expected value and the standard deviation of the volume of liquid emptied into the larger container.
(b) If the content of the individual bottles is normally distributed, what is the probability that the volume of liquid emptied into the larger container will be in excess of 39.1 ounces?

a

The expected value is = 39 units

The standard deviation is = 0.1212 unites

b

The probability is = 0.2047 units

Explanation:

The explanation of this answer is shown on the first uploaded image

120,630,890

step-by-step explanation:

110+10=120,620+10=630,880+10=890

"among the transition metal elements, manganese and zinc have a slight lowering of electronegativities. the reason behind this is that the nuclear charges of these elements are slightly weaker than the other transition metal elements due to the way their valence electrons are filled up. both manganese and zinc have their valence electrons filled up to the 4th shell with 1 pair of electrons (4s2) completely occupying it. although the electrons in the 3rd shell (3d) are yet to be paired since the outer most shell is filled up, the ability of the nucleus to attract electrons is lessened. hence,   the electronegativity (or the ability to attract electrons) is lessened."