Analysis
HW Section 3
Skills Application Scenario #6
Skills Application Scenario #7
HW Section 4
Fill in the number where XX appears in the chart below:
|
Year |
# Claims |
Frequency Dev. Factor |
Developed Frequency |
Mean |
Deviation |
Squared Deviation |
|
X1 |
140 |
1.00 |
XX |
148 |
-8 |
64 |
|
X2 |
120 |
1.00 |
120 |
148 |
XX |
784 |
|
X3 |
156 |
1.03 |
161 |
148 |
XX |
169 |
|
X4 |
122 |
1.09 |
XX |
148 |
-15 |
225 |
|
X5 |
127 |
1.45 |
184 |
148 |
XX |
1296 |
|
Mean |
148 |
148 |
Sum |
2538 |
I have calculated the following: Mean = 148, Standard Deviation = 25
Please place the correct number in the boxes in the following normal distribution curve:
Using the empirical rule, please identify the confidence intervals for the distribution curve above:
|
|
Interval |
Approximate Probability |
|
Mean ±1 Standard Deviation |
|
68.2% |
|
Mean ±2 Standard Deviations |
|
95.4% |
|
Mean ± 3 Standard Deviations |
|
99.7% |