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Find the percent of the total area under the standard normal curve between the following z-scores. z = -1.2 and z = 0.65 Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The percent of the total area between z= -1.2 and z= 0.65 is Round to the nearest tenth as needed) %.

Find the percent of the total area under the standard normal curve between the following z-scores. z = -1.2 and z = 0.65 Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The percent of the total area between z= -1.2 and z= 0.65 is Round to the nearest tenth as needed) %.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Find the percent of the total area under the standard normal curve between the following z-scores. z = -1.2 and z = 0.65 Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The percent of the total area between z = -1.2 and z = 0.65 is%. (Round to the nearest tenth as needed.)
Transcribed Image Text:Find the percent of the total area under the standard normal curve between the following z-scores. z = -1.2 and z = 0.65 Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The percent of the total area between z = -1.2 and z = 0.65 is%. (Round to the nearest tenth as needed.)
Standard Normal Curve Areas (page 1) Areas under the Normal Curve The column under A gives the proportion of the area under the entire curve that is between z = 0 and a positive value of z. Z A z A Z 0.00 0.000 0.30 0.118 0.60 0.01 0.004 0.31 0.122 0.61 0.02 0.008 0.32 0.126 0.62 0.03 0.012 0.33 0.129 0.63 0.04 0.016 0.34 0.133 0.64 0.05 0.020 0.35 0.137 0.65 0.06 0.024 0.36 0.141 0.66 0.07 0.028 0.37 0.144 0.67 0.08 0.032 0.38 0.148 0.68 0.09 0.036 0.39 0.152 0.69 0.10 0.040 0.40 0.155 0.70 0.41 0.044 0.048 0.42 0.11 0.159 0.71 0.12 0.163 0.13 0.052 0.43 0.166 0.14 0.056 0.44 0.170 0.15 0.060 0.45 0.174 0.75 0.16 0.064 0.46 0.177 0.76 0.17 0.067 0.47 0.181 0.77 0.18 0.48 0.184 0.78 0.19 0.49 0.188 0.79 0.20 0.50 0.191 0.80 0.21 0.51 0.195 0.81 0.22 0.52 0.198 0.82 0.23 0.202 0.53 0.83 0,205 0.54 0.84 0.209 0.85 0.212 0.86 0.216 0.87 0.24 0.25 0.26 0.27 0.28 0.29 0.071 0.075 0.079 0.083 0.087 0.091 0.095 0.099 0.55 0.103 0.56 0.106 0.57 0.58 0.59 0.219 0.222 Areas under the Normal Curve The column under A gives the proportion of the area under the entire curve that is between z = 0 and a positive value of z. 0.72 0.73 0.74 2.01 0.478 2.31 2.02 0.478 2.32 2.03 0.479 2.33 2.04 0.479 2.34 2.05 0.480 2.35 2.06 0.480 2.36 2.07 0.481 2.37 2.08 2.38 0.481 12 39 12.09 182 0.88 0.89 0.110 0.114 Standard Normal Curve Areas (page 2) A 0 2 z 0.226 0.90 A z 0.316 1.20 0.319 1.21 0.229 0.91 0.232 0.92 1.22 0.321 0.324 1.23 0.236 0.93 0.239 0.94 0,242 0.95 0.326 1.24 0.329 1.25 0.331 1.26 0.394 1.55 0.245 0.96 0.396 1.56 0.249 0.97 0.334 1.27 0.398 1.57 0.336 1.28 0.400 1.58 0.252 0.98 0.255 0.99 0.339 1.29 0.401 1.59 0.258 1.00 0.341 1.30 0.403 0.261 1.01 0.344 1.31 0.405 0.407 0.264 1.02 0.346 1.32 0.348 1.33 0.351 1.34 0.267 1.03 1.04 1.05 0.353 1.35 0.276 1.06 0.279 1.07 0.282 1.08 0.285 1.09 0.288 1.10 1.11 1.12 1.13 1.14 1.15 1.16 0.270 0.273 0.491 2.65 0.491 2.66 0.491 2.67 2.68 0.491 h 492 12 69 0.291 0.294 0.297 0.300 0.302 0.305 0.308 0.311 0.313 0 1.17 1.18 1.19 z Z Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z. 0.355 1.36 0.358 1.37 0.375 0.377 0.379 0.360 1.38 0.362 1.39 0.364 0.367 0.369 0.371 0.373 0.381 0.383 Z A Zz A z 0.464 2.10 0.482 2.40 1.80 1.81 0.465 2.11 0.483 2.41 1.82 0.466 2.12 0.483 2.42 1.83 0.466 2.13 0.483 2.43 1.84 0.467 2.14 0.484 2.44 1.85 0.468 2.15 0.484 2.45 1.86 0.469 2.16 0.485 2.46 0.493 2.76 1.87 0.469 2.17 0.485 2.47 0.493 2.77 1.88 0.470 2.18 0.485 2.48 0.493 2.78 1.89 0.471 2.19 0.486 2.49 0.494 2.79 1.90 0.471 2.20 0.486 2.50 1.91 0.472 2.21 0.486 2.51 1.92 0.473 2.22 0.487 2.52 1.93 0.473 2.23 0.487 2.53 1.94 0.474 2.24 0.487 2.54 1.95 0.474 2.25 0.488 2.55 1.96 0.475 2.26 0.488 2.56 1.97 0.476 2.27 0.488 2.57 1.98 0.476 2.28 0.489 2.58 1.99 0.477 2.29 0.494 2.80 0.494 2.81 0.494 2.82 0.494 2.83 0.494 2.84 0.495 2.85 0.495 2.86 0.495 2.87 0.495 2.88 0.489 2.59 0.495 2.89 2.00 0.477 2.30 0.489 2.60 0.495 2.90 0.490 2.61 0.495 2.91 0.496 2.92 0.490 2.62 0.490 2.63 0.496 2.93 0.490 2.64 0.496 2.94 0.496 2.95 0.496 2.96 0.496 2.97 0.496 2.98 0.499 3.27 0.499 0 496 2.99 0.499 3.29 3.28 1.47 1.48 1.49 A 0.492 2.70 0.492 2.71 0.492 2.72 0.492 2.73 0.493 2.74 0.497 3.04 0.493 2.75 0.497 3.05 A Z 0.497 3.00 0.497 3.01 0.497 3.02 0.497 3.03 A 2 0.385 1.50 0.387 1.51 0.389 1.52 0.391 1.53 0.393 1.54 0.416 0.418 0.419 1.40 1.41 0.421 1.42 0.422 1.43 0.424 1.44 0.425 0.426 1.45 1.46 0.428 1.60 1.61 1.62 0.408 1.63 0.410 0.411 0.413 0.415 1.64 1.65 1.66 1.67. 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75 1.76 0.429 1.77 0.431 1.78 0.432 1.79 0.499 3.35 0.499 3.36 Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z. 0.497 3.06 0.497 3.07 0.499 3.37 0.497 3.08 0.499 3.38 0.497 3.09 0.499 3.39 0.497 3.10 0.499 3.40 0.498 3.11 0.499 3.41 0.498 3.12 0.499 3.42 0.499 3.43 0.499 3.44 3.45 3.46 3.47 A 0.433 0.434 0.436 0.437 0.438 0.439 0.498 3.13 0.498 3.14 0.498 3.15 0.499 0.498 3.16 0.499 0.498 3.17 0.499 0.498 3.18 0.499 0.498 3.19 0.499 0.498 3.20 0.499 3.50 0.498 3.21 0.499 3.51 0.498 3.22 0.499 3.52 0.498 3.23 0.499 3.53 0.498 3.24 0.499 3.54 0.498 3.25 0.499 3.55 0.498 3.26 0.499 3.56 0.499 3.57 0.499 3.58 0.499 3.59 0.441 0.442 3.48 3.49 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.451 0.452 A A Z 0.499 3.30 0.499 3.31 0.500 0.500 0.499 3.32 0.500 0.499 3.33 0.500 0.499 3.34 0.500 0.500 0.500 0.500 0.500 0.453 0.454 0.454 0.455 0.456 0.457 0.458 0.459 0.460 0.461 0.462 0.462 0.463 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500
Transcribed Image Text:Standard Normal Curve Areas (page 1) Areas under the Normal Curve The column under A gives the proportion of the area under the entire curve that is between z = 0 and a positive value of z. Z A z A Z 0.00 0.000 0.30 0.118 0.60 0.01 0.004 0.31 0.122 0.61 0.02 0.008 0.32 0.126 0.62 0.03 0.012 0.33 0.129 0.63 0.04 0.016 0.34 0.133 0.64 0.05 0.020 0.35 0.137 0.65 0.06 0.024 0.36 0.141 0.66 0.07 0.028 0.37 0.144 0.67 0.08 0.032 0.38 0.148 0.68 0.09 0.036 0.39 0.152 0.69 0.10 0.040 0.40 0.155 0.70 0.41 0.044 0.048 0.42 0.11 0.159 0.71 0.12 0.163 0.13 0.052 0.43 0.166 0.14 0.056 0.44 0.170 0.15 0.060 0.45 0.174 0.75 0.16 0.064 0.46 0.177 0.76 0.17 0.067 0.47 0.181 0.77 0.18 0.48 0.184 0.78 0.19 0.49 0.188 0.79 0.20 0.50 0.191 0.80 0.21 0.51 0.195 0.81 0.22 0.52 0.198 0.82 0.23 0.202 0.53 0.83 0,205 0.54 0.84 0.209 0.85 0.212 0.86 0.216 0.87 0.24 0.25 0.26 0.27 0.28 0.29 0.071 0.075 0.079 0.083 0.087 0.091 0.095 0.099 0.55 0.103 0.56 0.106 0.57 0.58 0.59 0.219 0.222 Areas under the Normal Curve The column under A gives the proportion of the area under the entire curve that is between z = 0 and a positive value of z. 0.72 0.73 0.74 2.01 0.478 2.31 2.02 0.478 2.32 2.03 0.479 2.33 2.04 0.479 2.34 2.05 0.480 2.35 2.06 0.480 2.36 2.07 0.481 2.37 2.08 2.38 0.481 12 39 12.09 182 0.88 0.89 0.110 0.114 Standard Normal Curve Areas (page 2) A 0 2 z 0.226 0.90 A z 0.316 1.20 0.319 1.21 0.229 0.91 0.232 0.92 1.22 0.321 0.324 1.23 0.236 0.93 0.239 0.94 0,242 0.95 0.326 1.24 0.329 1.25 0.331 1.26 0.394 1.55 0.245 0.96 0.396 1.56 0.249 0.97 0.334 1.27 0.398 1.57 0.336 1.28 0.400 1.58 0.252 0.98 0.255 0.99 0.339 1.29 0.401 1.59 0.258 1.00 0.341 1.30 0.403 0.261 1.01 0.344 1.31 0.405 0.407 0.264 1.02 0.346 1.32 0.348 1.33 0.351 1.34 0.267 1.03 1.04 1.05 0.353 1.35 0.276 1.06 0.279 1.07 0.282 1.08 0.285 1.09 0.288 1.10 1.11 1.12 1.13 1.14 1.15 1.16 0.270 0.273 0.491 2.65 0.491 2.66 0.491 2.67 2.68 0.491 h 492 12 69 0.291 0.294 0.297 0.300 0.302 0.305 0.308 0.311 0.313 0 1.17 1.18 1.19 z Z Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z. 0.355 1.36 0.358 1.37 0.375 0.377 0.379 0.360 1.38 0.362 1.39 0.364 0.367 0.369 0.371 0.373 0.381 0.383 Z A Zz A z 0.464 2.10 0.482 2.40 1.80 1.81 0.465 2.11 0.483 2.41 1.82 0.466 2.12 0.483 2.42 1.83 0.466 2.13 0.483 2.43 1.84 0.467 2.14 0.484 2.44 1.85 0.468 2.15 0.484 2.45 1.86 0.469 2.16 0.485 2.46 0.493 2.76 1.87 0.469 2.17 0.485 2.47 0.493 2.77 1.88 0.470 2.18 0.485 2.48 0.493 2.78 1.89 0.471 2.19 0.486 2.49 0.494 2.79 1.90 0.471 2.20 0.486 2.50 1.91 0.472 2.21 0.486 2.51 1.92 0.473 2.22 0.487 2.52 1.93 0.473 2.23 0.487 2.53 1.94 0.474 2.24 0.487 2.54 1.95 0.474 2.25 0.488 2.55 1.96 0.475 2.26 0.488 2.56 1.97 0.476 2.27 0.488 2.57 1.98 0.476 2.28 0.489 2.58 1.99 0.477 2.29 0.494 2.80 0.494 2.81 0.494 2.82 0.494 2.83 0.494 2.84 0.495 2.85 0.495 2.86 0.495 2.87 0.495 2.88 0.489 2.59 0.495 2.89 2.00 0.477 2.30 0.489 2.60 0.495 2.90 0.490 2.61 0.495 2.91 0.496 2.92 0.490 2.62 0.490 2.63 0.496 2.93 0.490 2.64 0.496 2.94 0.496 2.95 0.496 2.96 0.496 2.97 0.496 2.98 0.499 3.27 0.499 0 496 2.99 0.499 3.29 3.28 1.47 1.48 1.49 A 0.492 2.70 0.492 2.71 0.492 2.72 0.492 2.73 0.493 2.74 0.497 3.04 0.493 2.75 0.497 3.05 A Z 0.497 3.00 0.497 3.01 0.497 3.02 0.497 3.03 A 2 0.385 1.50 0.387 1.51 0.389 1.52 0.391 1.53 0.393 1.54 0.416 0.418 0.419 1.40 1.41 0.421 1.42 0.422 1.43 0.424 1.44 0.425 0.426 1.45 1.46 0.428 1.60 1.61 1.62 0.408 1.63 0.410 0.411 0.413 0.415 1.64 1.65 1.66 1.67. 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75 1.76 0.429 1.77 0.431 1.78 0.432 1.79 0.499 3.35 0.499 3.36 Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z. 0.497 3.06 0.497 3.07 0.499 3.37 0.497 3.08 0.499 3.38 0.497 3.09 0.499 3.39 0.497 3.10 0.499 3.40 0.498 3.11 0.499 3.41 0.498 3.12 0.499 3.42 0.499 3.43 0.499 3.44 3.45 3.46 3.47 A 0.433 0.434 0.436 0.437 0.438 0.439 0.498 3.13 0.498 3.14 0.498 3.15 0.499 0.498 3.16 0.499 0.498 3.17 0.499 0.498 3.18 0.499 0.498 3.19 0.499 0.498 3.20 0.499 3.50 0.498 3.21 0.499 3.51 0.498 3.22 0.499 3.52 0.498 3.23 0.499 3.53 0.498 3.24 0.499 3.54 0.498 3.25 0.499 3.55 0.498 3.26 0.499 3.56 0.499 3.57 0.499 3.58 0.499 3.59 0.441 0.442 3.48 3.49 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.451 0.452 A A Z 0.499 3.30 0.499 3.31 0.500 0.500 0.499 3.32 0.500 0.499 3.33 0.500 0.499 3.34 0.500 0.500 0.500 0.500 0.500 0.453 0.454 0.454 0.455 0.456 0.457 0.458 0.459 0.460 0.461 0.462 0.462 0.463 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500
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