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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 1029 h with a standard deviation of 84 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 920 h % (b) between 840 and 900 h %

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 1029 h with a standard deviation of 84 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 920 h % (b) between 840 and 900 h %

MATLAB: An Introduction with Applications
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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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 1029 h with a standard deviation of 84 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 920 h % (b) between 840 and 900 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 1029 h with a standard deviation of 84 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 920 h % (b) between 840 and 900 h %
Area Under the Standard Normal Curve Z A A Z A A A 0.00 0.000 0.56 0.212 1.12 0.369 1.68 0.454 2.24 0.487 2.80 0.497 0.01 0.004 0.57 0.216 1.13 0.371 1.69 0.454 2.25 0.488 2.81 0.498 0.02 0.008 0.58 0.219 1.14 0.373 1.70 0.455 2.26 0.488 2.82 0.498 1.15 0.375 2.27 0.488 2.83 0.498 1.71 0.456 1.72 0.457 1.16 0.377 2.28 0.489 2.84 0.498 2.29 0.489 2.85 0.498 2.30 0.489 2.86 0.498 0.490 2.87 0.498 0.03 0.012 0.59 0.222 0.04 0.016 0.60 0.226 0.05 0.020 0.61 0.229 1.17 0.379 1.73 0.458 0.06 0.024 0.62 0.232 1.18 0.381 1.74 0.459 0.07 0.028 0.63 0.236 1.19 0.383 1.75 0.460 2.31 0.08 0.032 0.64 0.239 1.20 0.385 1.76 0.461 2.32 0.09 0.036 0.65 0.242 1.21 0.387 1.77 0.462 0.10 0.040 0.66 0.245 1.22 0.389 1.78 0.11 0.044 0.67 0.249 1.23 0.391 1.79 0.12 0.048 0.68 0.252 1.24 0.393 1.80 0.13 0.052 0.69 0.255 0.490 2.88 0.498 2.33 0.490 2.89 0.498 0.462 2.34 0.490 2.90 0.498 0.463 2.35 0.491 2.91 0.498 0.464 2.36 0.491 2.92 0.498 1.25 0.394 1.81 0.465 0.491 2.93 0.498 2.37 0.466 2.38 0.491 0.258 1.26 0.396 1.82 2.94 0.498 0.398 1.83 0.466 2.39 0.492 2.95 0.498 1.84 0.467 2.40 0.492 2.96 0.498 1.85 0.468 2.41 0.492 2.97 0.499 1.86 0.469 2.42 0.492 2.98 0.499 0.14 0.056 0.70 0.15 0.060 0.71 0.261 1.27 0.16 0.064 0.72 0.264 1.28 0.400 0.17 0.067 0.73 0.267 1.29 0.401 0.18 0.071 0.74 0.270 1.30 0.403 0.19 0.075 0.75 0.273 1.31 0.405 0.20 0.079 0.76 0.276 1.32 0.407 0.21 0.083 0.77 0.279 1.33 0.408 0.22 0.087 0.78 0.282 1.34 0.410 0.23 0.091 0.79 0.285 1.35 0.288 1.36 1.87 0.469 2.43 0.492 2.99 1.88 0.470 2.44 0.493 3.00 1.89 0.471 2.45 0.493 3.01 0.499 1.90 0.471 2.46 0.493 3.02 0.499 0.411 1.91 0.472 2.47 0.493 3.03 0.499 0.24 0.095 0.80 2.48 0.493 3.04 0.499 0.25 2.49 0.494 3.05 0.499 0.413 1.92 0.473 1.37 0.415 1.93 0.473 0.294 1.38 0.416 1.94 0.297 1.39 0.418 1.95 0.26 0.474 2.50 0.494 3.06 0.499 0.474 2.51 0.494 3.07 0.499 0.475 2.52 0.494 3.08 0.499 0.300 0.302 1.40 1.41 2.53 0.494 3.09 0.499 2.54 0.494 3.10 0.499 2.55 0.495 3.11 0.499 0.30 0.118 0.86 0.305 1.42 0.31 0.122 0.87 0.308 1.43 0.424 0.32 0.126 0.88 0.311 1.44 0.425 0.33 0.129 0.89 0.313 1.45 0.426 0.419 1.96 0.421 1.97 0.476 0.422 1.98 0.476 1.99 0.477 2.00 0.477 2.01 0.478 2.02 0.478 2.03 0.479 2.56 0.495 3.12 0.499 3.13 0.499 0.495 2.57 2.58 0.495 3.14 0.499 0.34 0.133 0.90 0.316 1.46 0.428 0.137 0.91 0.319 1.47 0.429 2.59 0.495 3.15 0.499 0.499 0.141 0.92 0.321 0.144 0.93 0.324 0.499 1.48 0.431 2.04 0.479 2.60 0.495 3.16 1.49 0.432 2.05 0.480 2.61 0.495 3.17 1.50 0.433 2.06 0.480 2.62 0.496 3.18 1.51 0.434 2.07 0.481 2.63 0.496 3.19 3.20 0.499 0.499 0.499 0.40 0.155 0.96 0.331 1.52 0.436 0.437 0.41 0.159 0.97 0.334 1.53 3.21 0.499 2.08 0.481 2.64 0.496 2.09 0.482 2.65 0.496 2.10 0.482 2.66 0.496 2.11 0.483 2.67 0.496 0.42 0.163 0.98 0.336 1.54 0.438 3.22 0.499 0.43 3.23 0.499 0.166 0.99 0.339 0.341 0.44 0.170 1.00 2.12 0.483 2.68 0.496 3.24 0.499 0.45 0.174 1.01 0.344 3.25 0.499 0.46 0.177 1.02 0.346 3.26 0.499 0.497 0.497 3.27 0.499 0.47 0.181 1.03 0.348 0.48 0.184 1.04 0.351 0.49 0.188 1.05 0.353 0.497 3.28 0.499 1.55 0.439 1.56 0.441 1.57 0.442 2.13 0.483 2.69 0.496 1.58 0.443 2.14 0.484 2.70 1.59 0.444 2.15 0.484 2.71 1.60 0.445 2.16 0.485 2.72 1.61 0.446 2.17 0.485 2.73 0.497 3.29 0.499 1.62 0.447 2.18 0.485 2.74 0.497 3.30 0.500 1.63 0.448 2.19 0.486 2.75 0.497 1.64 0.449 2.20 0.486 2.76 0.497 0.53 0.202 1.09 0.362 1.65 0.451 2.21 0.486 2.77 0.497 3.33 0.54 0.205 1.10 0.364 1.66 0.452 2.22 0.487 0.50 0.191 1.06 0.355 0.51 0.195 1.07 0.358 0.52 0.198 1.08 0.360 3.31 0.500 3.32 0.500 0.500 2.78 0.497 0.55 0.209 1.11 0.367 1.67 0.453 2.23 0.487 2.79 0.497 0.099 0.103 0.82 0.27 0.106 0.83 0.28 0.110 0.84 0.29 0.114 0.85 0.81 0.291 0.35 0.36 0.37 0.38 0.148 0.39 0.152 0.95 0.94 0.326 0.329 Z. Z Z 0.499 0.499
Transcribed Image Text:Area Under the Standard Normal Curve Z A A Z A A A 0.00 0.000 0.56 0.212 1.12 0.369 1.68 0.454 2.24 0.487 2.80 0.497 0.01 0.004 0.57 0.216 1.13 0.371 1.69 0.454 2.25 0.488 2.81 0.498 0.02 0.008 0.58 0.219 1.14 0.373 1.70 0.455 2.26 0.488 2.82 0.498 1.15 0.375 2.27 0.488 2.83 0.498 1.71 0.456 1.72 0.457 1.16 0.377 2.28 0.489 2.84 0.498 2.29 0.489 2.85 0.498 2.30 0.489 2.86 0.498 0.490 2.87 0.498 0.03 0.012 0.59 0.222 0.04 0.016 0.60 0.226 0.05 0.020 0.61 0.229 1.17 0.379 1.73 0.458 0.06 0.024 0.62 0.232 1.18 0.381 1.74 0.459 0.07 0.028 0.63 0.236 1.19 0.383 1.75 0.460 2.31 0.08 0.032 0.64 0.239 1.20 0.385 1.76 0.461 2.32 0.09 0.036 0.65 0.242 1.21 0.387 1.77 0.462 0.10 0.040 0.66 0.245 1.22 0.389 1.78 0.11 0.044 0.67 0.249 1.23 0.391 1.79 0.12 0.048 0.68 0.252 1.24 0.393 1.80 0.13 0.052 0.69 0.255 0.490 2.88 0.498 2.33 0.490 2.89 0.498 0.462 2.34 0.490 2.90 0.498 0.463 2.35 0.491 2.91 0.498 0.464 2.36 0.491 2.92 0.498 1.25 0.394 1.81 0.465 0.491 2.93 0.498 2.37 0.466 2.38 0.491 0.258 1.26 0.396 1.82 2.94 0.498 0.398 1.83 0.466 2.39 0.492 2.95 0.498 1.84 0.467 2.40 0.492 2.96 0.498 1.85 0.468 2.41 0.492 2.97 0.499 1.86 0.469 2.42 0.492 2.98 0.499 0.14 0.056 0.70 0.15 0.060 0.71 0.261 1.27 0.16 0.064 0.72 0.264 1.28 0.400 0.17 0.067 0.73 0.267 1.29 0.401 0.18 0.071 0.74 0.270 1.30 0.403 0.19 0.075 0.75 0.273 1.31 0.405 0.20 0.079 0.76 0.276 1.32 0.407 0.21 0.083 0.77 0.279 1.33 0.408 0.22 0.087 0.78 0.282 1.34 0.410 0.23 0.091 0.79 0.285 1.35 0.288 1.36 1.87 0.469 2.43 0.492 2.99 1.88 0.470 2.44 0.493 3.00 1.89 0.471 2.45 0.493 3.01 0.499 1.90 0.471 2.46 0.493 3.02 0.499 0.411 1.91 0.472 2.47 0.493 3.03 0.499 0.24 0.095 0.80 2.48 0.493 3.04 0.499 0.25 2.49 0.494 3.05 0.499 0.413 1.92 0.473 1.37 0.415 1.93 0.473 0.294 1.38 0.416 1.94 0.297 1.39 0.418 1.95 0.26 0.474 2.50 0.494 3.06 0.499 0.474 2.51 0.494 3.07 0.499 0.475 2.52 0.494 3.08 0.499 0.300 0.302 1.40 1.41 2.53 0.494 3.09 0.499 2.54 0.494 3.10 0.499 2.55 0.495 3.11 0.499 0.30 0.118 0.86 0.305 1.42 0.31 0.122 0.87 0.308 1.43 0.424 0.32 0.126 0.88 0.311 1.44 0.425 0.33 0.129 0.89 0.313 1.45 0.426 0.419 1.96 0.421 1.97 0.476 0.422 1.98 0.476 1.99 0.477 2.00 0.477 2.01 0.478 2.02 0.478 2.03 0.479 2.56 0.495 3.12 0.499 3.13 0.499 0.495 2.57 2.58 0.495 3.14 0.499 0.34 0.133 0.90 0.316 1.46 0.428 0.137 0.91 0.319 1.47 0.429 2.59 0.495 3.15 0.499 0.499 0.141 0.92 0.321 0.144 0.93 0.324 0.499 1.48 0.431 2.04 0.479 2.60 0.495 3.16 1.49 0.432 2.05 0.480 2.61 0.495 3.17 1.50 0.433 2.06 0.480 2.62 0.496 3.18 1.51 0.434 2.07 0.481 2.63 0.496 3.19 3.20 0.499 0.499 0.499 0.40 0.155 0.96 0.331 1.52 0.436 0.437 0.41 0.159 0.97 0.334 1.53 3.21 0.499 2.08 0.481 2.64 0.496 2.09 0.482 2.65 0.496 2.10 0.482 2.66 0.496 2.11 0.483 2.67 0.496 0.42 0.163 0.98 0.336 1.54 0.438 3.22 0.499 0.43 3.23 0.499 0.166 0.99 0.339 0.341 0.44 0.170 1.00 2.12 0.483 2.68 0.496 3.24 0.499 0.45 0.174 1.01 0.344 3.25 0.499 0.46 0.177 1.02 0.346 3.26 0.499 0.497 0.497 3.27 0.499 0.47 0.181 1.03 0.348 0.48 0.184 1.04 0.351 0.49 0.188 1.05 0.353 0.497 3.28 0.499 1.55 0.439 1.56 0.441 1.57 0.442 2.13 0.483 2.69 0.496 1.58 0.443 2.14 0.484 2.70 1.59 0.444 2.15 0.484 2.71 1.60 0.445 2.16 0.485 2.72 1.61 0.446 2.17 0.485 2.73 0.497 3.29 0.499 1.62 0.447 2.18 0.485 2.74 0.497 3.30 0.500 1.63 0.448 2.19 0.486 2.75 0.497 1.64 0.449 2.20 0.486 2.76 0.497 0.53 0.202 1.09 0.362 1.65 0.451 2.21 0.486 2.77 0.497 3.33 0.54 0.205 1.10 0.364 1.66 0.452 2.22 0.487 0.50 0.191 1.06 0.355 0.51 0.195 1.07 0.358 0.52 0.198 1.08 0.360 3.31 0.500 3.32 0.500 0.500 2.78 0.497 0.55 0.209 1.11 0.367 1.67 0.453 2.23 0.487 2.79 0.497 0.099 0.103 0.82 0.27 0.106 0.83 0.28 0.110 0.84 0.29 0.114 0.85 0.81 0.291 0.35 0.36 0.37 0.38 0.148 0.39 0.152 0.95 0.94 0.326 0.329 Z. Z Z 0.499 0.499
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