Reliability & Life Testing Handbook, Volume 1

For z ? 3.0, entries are in abbreviated notation x. x x x x - p, where
1 - F( z) = x.x x x x10 - p.
| Q: | X is normally distributed with mean ? = 27 and standard deviation ? = 4. What is the probability X will exceed 41? |
|
Answers
| Q: | z = (41 - 27)/4 = 3.50,
|
| Q: | From Example 1, what is the probability that X will be less than 41? |
|
Answers
| Q: |
|
| z | 1 - F( z) |
|---|---|
| 0.00 | 0.50000 |
| 0.01 | 0.49601 |
| 0.02 | 0.49202 |
| 0.03 | 0.48803 |
| 0.04 | 0.48405 |
| 0.05 | 0.48006 |
| 0.06 | 0.47608 |
| 0.07 | 0.47210 |
| 0.08 | 0.46812 |
| 0.09 | 0.46414 |
| 0.10 | 0.46017 |
| 0.11 | 0.45620 |
| 0.12 | 0.45224 |
| 0.13 | 0.44828 |
| 0.14 | 0.44433 |
| 0.15 | 0.44038 |
| 0.16 | 0.43644 |
| 0.17 | 0.43251 |
| 0.18 | 0.42858 |
| 0.19 | 0.42465 |
| 0.20 | 0.42074 |
| 0.21 | 0.41683 |
| 0.22 | 0.41294 |
| 0.23 | 0.40905 |
| 0.24 | 0.40517 |
| 0.25 | 0.40129 |
| 0.26 | 0.39743 |
| 0.27 | 0.39358 |
| 0.28 | 0.38974 |
| 0.29 | 0.38591 |
| 0.30 | 0.38209 |
| 0.31 | 0.37828 |
| 0.32 | 0.37448 |
| 0.33 | 0.37070 |
| 0.34 | 0.36693 |
| 0.35 | 0.36317 |
| 0.36 | 0.35942 |
| 0.37 | 0.35569 |
| 0.38 | 0.35197 |
| 0.39 | 0.34827 |
| 0.40 | 0.34458 |
| 0.41 | 0.34090 |
| 0.42 | 0.33724 |
| 0.43 | 0.33360 |
| 0.44 | 0.32997 |
| 0.45 | 0.32636 |
| 0.46 | 0.32276 |
| 0.47 | 0.31918 |
| 0.48 | 0.31561 |
| 0.49 | 0.31207 |
| 0.50 | 0.30854 |
| 0.51 | 0.30503 |
| 0.52 | 0.30153 |
| 0.53 | 0.29806 |