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Solved: In a NiCd battery, a fully charged cell is
Chapter 3, Problem 66E(choose chapter or problem)
IIn a NiCd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element that has multiple oxidation states. Assume the following proportions of the states:
(a) Determine the cumulative distribution function of nickel charge.
(b) Determine the mean and variance of the nickel charge.
Questions & Answers
QUESTION:
IIn a NiCd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element that has multiple oxidation states. Assume the following proportions of the states:
(a) Determine the cumulative distribution function of nickel charge.
(b) Determine the mean and variance of the nickel charge.
ANSWER:
Step 1 of 2
From the given information we know that in a NiCd battery, a fully charged cell is composed of nickelic hydroxide.
Then the table is given below.
Nickel Charge |
Proportions Found |
0 |
0.17 |
2 |
0.35 |
3 |
0.33 |
4 |
0.15 |
Our goal is:
a). We need to determine the cumulative distribution function of nickel charge.
b). We need to determine the mean and variance of the nickel charge.
a). The cumulative distribution function for the given data:
x |
f(x) |
F(x) |
0 |
0.17 |
0.17 |
2 |
0.35 |
0.17+0.35 = 0.52 |
3 |
0.33 |
0.52+0.33 = 0.85 |
4 |
0.15 |
0.85+0.15 = 0.1 |
Then the cumulative distribution function of nickel charge is
