Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1030 h with a standard deviation of 89 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 980 h % (b) between 810 and 880 h %

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please be as detailed as possible. I also attached the table. 

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using
the table.
A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1030 h with a standard deviation of 89 h.
What percent of these light bulbs will last as follows? (Round your answers to one decimal place.)
(a) at least 980 h
%
(b) between 810 and 880 h
%
Transcribed Image Text:Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1030 h with a standard deviation of 89 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 980 h % (b) between 810 and 880 h %
Area Under the Standard Normal Curve
A
A
A
A
0.00 0.000 0.56
0.212
0.369
1.68 0.454
2.24
0.487 2.80
0.497
1.12
0.216 1.13 0.371
0.01 0.004 0.57
1.69
0.454
2.25 0.488 2.81
0.498
0.02 0.008
0.58 0.219
1.14 0.373
0.455 2.26 0.488 2.82 0.498
1.70
1.71 0.456
2.27
0.488 2.83
0.498
1.72
0.457
2.28
0.489 2.84
0.498
2.29 0.489
2.85
0.498
1.73 0.458
1.74 0.459
2.30
0.489 2.86
0.498
2.31 0.490
2.87
0.498
1.75 0.460
1.76 0.461
2.32
0.490
2.88
0.498
0.03 0.012 0.59 0.222
1.15 0.375
0.04 0.016 0.60 0.226 1.16 0.377
0.05 0.020 0.61 0.229 1.17 0.379
0.06 0.024 0.62 0.232 1.18 0.381
0.07 0.028 0.63 0.236 1.19 0.383
0.08 0.032 0.64 0.239
1.20
0.385
0.09 0.036 0.65 0.242 1.21 0.387
0.10 0.040 0.66 0.245
0.11 0.044 0.67 0.249
0.12 0.048
0.68 0.252
0.13 0.052 0.69 0.255 1.25 0.394
0.14 0.056 0.70 0.258
1.77
0.462
2.33 0.490
2.89
0.498
0.462
2.34
0.490 2.90
0.498
2.35
0.491 2.91
0.498
0.463
0.464 2.36
0.491
2.92
0.498
1.22 0.389 1.78
1.23 0.391 1.79
1.24 0.393 1.80
1.81
1.26 0.396 1.82
1.27 0.398 1.83 0.466
1.84
0.491 2.93
0.498
0.465 2.37
0.466 2.38
2.39
0.491 2.94
0.498
0.15 0.060 0.71
0.261
0.492 2.95
0.498
0.16 0.064 0.72
0.264
1.28
0.400
0.467 2.40
0.492 2.96
0.498
0.17 0.067 0.73 0.267
1.29
0.401
1.85
0.468 2.41
0.492 2.97
0.499
1.30
0.403
1.86
0.469 2.42
0.492 2.98 0.499
0.18 0.071 0.74 0.270
0.19 0.075 0.75 0.273 1.31
0.405 1.87
0.469
2.43 0.492
2.99
0.499
1.32
0.407
1.88
0.470
2.44
0.493
3.00 0.499
0.20 0.079 0.76 0.276
0.21 0.083 0.77 0.279
1.33
0.408
1.89
0.471
2.45
0.493 3.01
0.499
0.22 0.087 0.78
0.282
1.34 0.410
1.90
0.471
2.46
0.493
3.02
0.499
0.23 0.091 0.79
0.285
1.35 0.411 1.91 0.472
2.47
0.493
3.03
0.499
0.24 0.095
0.80 0.288
1.92
0.473
2.48
0.493
3.04
0.499
0.25 0.099 0.81
1.36 0.413
0.291 1.37 0.415
0.82 0.294 1.38 0.416 1.94
1.93 0.473 2.49
0.494 3.05
0.499
0.474
2.50
0.494
3.06
0.499
0.26 0.103
0.27 0.106 0.83 0.297
1.39 0.418 1.95
0.474
2.51
0.494
3.07
0.499
1.40
0.419
1.96 0.475
2.52
0.494 3.08
0.499
0.28 0.110 0.84 0.300
0.29 0.114 0.85 0.302 1.41
0.30 0.118 0.86 0.305 1.42
0.421
1.97
0.476 2.53 0.494
3.09
0.499
0.422
1.98
0.476 2.54
3.10
0.499
0.494
0.477 2.55 0.495
0.31 0.122 0.87 0.308
1.43
0.424 1.99
3.11 0.499
2.00 0.477
2.56
0.495
3.12
0.499
0.32 0.126 0.88 0.311 1.44 0.425
0.33 0.129 0.89 0.313 1.45 0.426
2.01 0.478
2.57 0.495
3.13
0.499
0.34 0.133 0.90
0.428
2.58 0.495
3.14
0.499
0.35
0.316 1.46
2.02
0.478
0.137 0.91 0.319 1.47 0.429 2.03 0.479 2.59 0.495
0.141 0.92 0.321 1.48 0.431 2.04 0.479 2.60
3.15
0.499
0.499
0.432 2.05 0.480
1.50 0.433 2.06 0.480
0.36
0.37 0.144 0.93 0.324 1.49
0.38 0.148 0.94 0.326
0.39 0.152 0.95 0.329
0.40 0.155 0.96 0.331
0.159 0.97 0.334
0.496
0.495
3.16
2.61 0.495 3.17 0.499
2.62
3.18 0.499
2.63
0.496 3.19 0.499
2.64 0.496 3.20 0.499
1.51 0.434 2.07 0.481
1.52 0.436 2.08 0.481
0.41
1.53 0.437
2.09 0.482
2.65 0.496 3.21 0.499
0.42
0.163
0.98 0.336
2.10 0.482
0.496 3.22 0.499
0.43
0.166
2.11 0.483
0.99
1.00 0.341
0.496 3.23 0.499
0.339 1.55
1.56
1.54 0.438
0.439
0.441
0.442
2.66
2.67
2.68 0.496 3.24
0.44 0.170
2.12 0.483
0.499
0.45 0.174
1.01 0.344 1.57
2.13
0.483
2.69 0.496 3.25
0.499
0.46 0.177 1.02 0.346 1.58 0.443
2.14
0.484
2.70
0.497 3.26
0.499
0.47 0.181 1.03 0.348
0.444
2.15 0.484
2.71
0.497
3.27
0.499
1.59
1.60 0.445
0.48 0.184 1.04
0.351
2.16 0.485
2.72
0.497
3.28
0.499
0.49 0.188 1.05 0.353
1.61 0.446
2.17 0.485
2.73
0.497
3.29 0.499
0.50 0.191 1.06 0.355 1.62
0.447
2.18 0.485
2.74
0.497
3.30 0.500
0.51 0.195
1.07 0.358
2.75 0.497
3.31 0.500
1.63
1.08 0.360 1.64
0.448
0.449
2.19
0.486
2.20 0.486 2.76
0.52 0.198
0.497
3.32 0.500
0.53 0.202 1.09 0.362 1.65
0.451
2.21 0.486 2.77 0.497
3.33 0.500
0.54 0.205 1.10
0.364 1.66
0.452
2.22 0.487 2.78 0.497
0.497
0.55 0.209 1.11 0.367 1.67
0.453
2.23 0.487 2.79
Z
Z
A
Z
A
Z
Transcribed Image Text:Area Under the Standard Normal Curve A A A A 0.00 0.000 0.56 0.212 0.369 1.68 0.454 2.24 0.487 2.80 0.497 1.12 0.216 1.13 0.371 0.01 0.004 0.57 1.69 0.454 2.25 0.488 2.81 0.498 0.02 0.008 0.58 0.219 1.14 0.373 0.455 2.26 0.488 2.82 0.498 1.70 1.71 0.456 2.27 0.488 2.83 0.498 1.72 0.457 2.28 0.489 2.84 0.498 2.29 0.489 2.85 0.498 1.73 0.458 1.74 0.459 2.30 0.489 2.86 0.498 2.31 0.490 2.87 0.498 1.75 0.460 1.76 0.461 2.32 0.490 2.88 0.498 0.03 0.012 0.59 0.222 1.15 0.375 0.04 0.016 0.60 0.226 1.16 0.377 0.05 0.020 0.61 0.229 1.17 0.379 0.06 0.024 0.62 0.232 1.18 0.381 0.07 0.028 0.63 0.236 1.19 0.383 0.08 0.032 0.64 0.239 1.20 0.385 0.09 0.036 0.65 0.242 1.21 0.387 0.10 0.040 0.66 0.245 0.11 0.044 0.67 0.249 0.12 0.048 0.68 0.252 0.13 0.052 0.69 0.255 1.25 0.394 0.14 0.056 0.70 0.258 1.77 0.462 2.33 0.490 2.89 0.498 0.462 2.34 0.490 2.90 0.498 2.35 0.491 2.91 0.498 0.463 0.464 2.36 0.491 2.92 0.498 1.22 0.389 1.78 1.23 0.391 1.79 1.24 0.393 1.80 1.81 1.26 0.396 1.82 1.27 0.398 1.83 0.466 1.84 0.491 2.93 0.498 0.465 2.37 0.466 2.38 2.39 0.491 2.94 0.498 0.15 0.060 0.71 0.261 0.492 2.95 0.498 0.16 0.064 0.72 0.264 1.28 0.400 0.467 2.40 0.492 2.96 0.498 0.17 0.067 0.73 0.267 1.29 0.401 1.85 0.468 2.41 0.492 2.97 0.499 1.30 0.403 1.86 0.469 2.42 0.492 2.98 0.499 0.18 0.071 0.74 0.270 0.19 0.075 0.75 0.273 1.31 0.405 1.87 0.469 2.43 0.492 2.99 0.499 1.32 0.407 1.88 0.470 2.44 0.493 3.00 0.499 0.20 0.079 0.76 0.276 0.21 0.083 0.77 0.279 1.33 0.408 1.89 0.471 2.45 0.493 3.01 0.499 0.22 0.087 0.78 0.282 1.34 0.410 1.90 0.471 2.46 0.493 3.02 0.499 0.23 0.091 0.79 0.285 1.35 0.411 1.91 0.472 2.47 0.493 3.03 0.499 0.24 0.095 0.80 0.288 1.92 0.473 2.48 0.493 3.04 0.499 0.25 0.099 0.81 1.36 0.413 0.291 1.37 0.415 0.82 0.294 1.38 0.416 1.94 1.93 0.473 2.49 0.494 3.05 0.499 0.474 2.50 0.494 3.06 0.499 0.26 0.103 0.27 0.106 0.83 0.297 1.39 0.418 1.95 0.474 2.51 0.494 3.07 0.499 1.40 0.419 1.96 0.475 2.52 0.494 3.08 0.499 0.28 0.110 0.84 0.300 0.29 0.114 0.85 0.302 1.41 0.30 0.118 0.86 0.305 1.42 0.421 1.97 0.476 2.53 0.494 3.09 0.499 0.422 1.98 0.476 2.54 3.10 0.499 0.494 0.477 2.55 0.495 0.31 0.122 0.87 0.308 1.43 0.424 1.99 3.11 0.499 2.00 0.477 2.56 0.495 3.12 0.499 0.32 0.126 0.88 0.311 1.44 0.425 0.33 0.129 0.89 0.313 1.45 0.426 2.01 0.478 2.57 0.495 3.13 0.499 0.34 0.133 0.90 0.428 2.58 0.495 3.14 0.499 0.35 0.316 1.46 2.02 0.478 0.137 0.91 0.319 1.47 0.429 2.03 0.479 2.59 0.495 0.141 0.92 0.321 1.48 0.431 2.04 0.479 2.60 3.15 0.499 0.499 0.432 2.05 0.480 1.50 0.433 2.06 0.480 0.36 0.37 0.144 0.93 0.324 1.49 0.38 0.148 0.94 0.326 0.39 0.152 0.95 0.329 0.40 0.155 0.96 0.331 0.159 0.97 0.334 0.496 0.495 3.16 2.61 0.495 3.17 0.499 2.62 3.18 0.499 2.63 0.496 3.19 0.499 2.64 0.496 3.20 0.499 1.51 0.434 2.07 0.481 1.52 0.436 2.08 0.481 0.41 1.53 0.437 2.09 0.482 2.65 0.496 3.21 0.499 0.42 0.163 0.98 0.336 2.10 0.482 0.496 3.22 0.499 0.43 0.166 2.11 0.483 0.99 1.00 0.341 0.496 3.23 0.499 0.339 1.55 1.56 1.54 0.438 0.439 0.441 0.442 2.66 2.67 2.68 0.496 3.24 0.44 0.170 2.12 0.483 0.499 0.45 0.174 1.01 0.344 1.57 2.13 0.483 2.69 0.496 3.25 0.499 0.46 0.177 1.02 0.346 1.58 0.443 2.14 0.484 2.70 0.497 3.26 0.499 0.47 0.181 1.03 0.348 0.444 2.15 0.484 2.71 0.497 3.27 0.499 1.59 1.60 0.445 0.48 0.184 1.04 0.351 2.16 0.485 2.72 0.497 3.28 0.499 0.49 0.188 1.05 0.353 1.61 0.446 2.17 0.485 2.73 0.497 3.29 0.499 0.50 0.191 1.06 0.355 1.62 0.447 2.18 0.485 2.74 0.497 3.30 0.500 0.51 0.195 1.07 0.358 2.75 0.497 3.31 0.500 1.63 1.08 0.360 1.64 0.448 0.449 2.19 0.486 2.20 0.486 2.76 0.52 0.198 0.497 3.32 0.500 0.53 0.202 1.09 0.362 1.65 0.451 2.21 0.486 2.77 0.497 3.33 0.500 0.54 0.205 1.10 0.364 1.66 0.452 2.22 0.487 2.78 0.497 0.497 0.55 0.209 1.11 0.367 1.67 0.453 2.23 0.487 2.79 Z Z A Z A Z
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