Find the percent of area under a normal curve between the mean and -1.18 standard deviations from the mean. (Note that positive indicates above the mean, while negative indicates below the mean.) 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 C The percentage of area under a normal curve between the mean and -1.18 standard deviations is %. (Round to the nearest tenth as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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100%
Standard Normal Curve Areas (page 1)
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
0.00
0.01
0.16
0.17
0.18
0.19
0.20
0.21
0.22
0.23
0.24
0.25
A
Z
Z
0.000
0.60
0.30
0.31
0.004
0.122
0.61
0.02 0.008
0.62
0.63
0.32 0.126
0.03 0.012 0.33 0.129
0.04
0.34
0.016
0.133 0.64
0.05 0.020 0.35 0.137 0.65
0.06 0.024 0.36 0.141 0.66 0.245 0.96
0.07 0.028 0.37 0.144 0.67 0.249 0.97
0.148 0.68 0.252
0.255 0.99
0.08
0.032
0.38
0.98
0.09
0.036
0.39
0.152 0.69
0.10
0.040
0.40
0.155
0.70
0.258 1.00
0.11 0.044 0.41 0.159 0.71
0.261
1.01
0.12
0.048 0.42
0.264
1.02
0.13
0.052
0.43
0.267
1.03
0.14
0.056
0.74 0.270
1.04
0.15 0.060 0.45
0.174
0.75 0.273
1.05
0.774
0.46
0.177
0.76
0.276 1.06
0.181
0.47
0.77
0.279
1.07
0.48
0.184
0.78
0.282
1.08
0.49
0.188 0.79
0.285
0.191
0.50
0.80
0.288
0.51
0.81
0.291
0.82
0.83
0.205 0.84
0.85
0.86
0.212
0.064
0.067
Z
1.80
0.071
0.075
0.079
0.083
0.087 0.52
0.091
0.53
0.095
0.099
0.26 0.103 0.56
0.44 0.170
A
0.118
1.98
1.99
0.465
0.466
0.163
0.166
0.54
0.55 0.209
1.81
1.82
1.83 0.466 2.13
1.84
1.85
1.86
1.87
1.88
1.89
1.90
1.91
0.195
0.198
0.202
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.
2.19
2.20
2.21
2.22
2.23
0.72
0.73
Standard Normal Curve Areas (page 2)
1.92
1.93
0.473
1.94 0.474
2.24 0.487
0.474
2.25
0.488
1.95
1.96 0.475 2.26
1.97
A
0.226 0.90
0.229
0.232
0.236
0.239 0.94
0.242 0.95
2.12 0.483 2.42
0.483 2.43
0.467 2.14 0.484 2.44
0.468 2.15 0.484
2.45
0.469
2.16
2.46
0.485
0.485 2.47
0.469 2.17
0.470
2.18
0.485
0.471
0.486
0.471
0.486
0.472
0.486
0.473
0.487
0.487
0.294
0,297
0.300
0.302
0.305
0 z
Z
A
0.316
0.91 0.319
0.92
0.93
0
Z
z
A
z
A
A
0.464 2.10 0.482 2.40 0.492 2.70
0.492 2.71
0.492
2.72
0.492 2.73 0.497
2.11 0.483 2,41
0.493
2.74
0.497
0.493
2.75
0.497
0.493
0.493
2.48 0.493 2.78
2.49
0.494 2.79
2.50
0.494
2.80
0.494
2.51
2.52
2.53
2.54
2.55
2.56
0.488
2.27
2.57
0.488
0.476
0.476 2.28 0.489 2.58
0.477 2.29
0.489
2.59
2.00
0.477 2.30
0.489 2.60
2.01
0.478 2.31 0.490 2.61
2.02
0.478
2.32
0.490
2.62
2.03
0.479
2.33
0.490
2.63 0.496
2.04
0.479
2.34
0.490
2.64 0.496
2.05 0.480
2.35
0.491
2.65
2.06
0.480 2.36
0.491 2.66
Areas under the Normal Curve
0.495
0.496
Z
1.20
1.21
1.22
1.23
0.326
1.24
0.329
1.25
0.331 1.26
0.334
1.27
0.336
1.28
0.339
0.341
0.344
1.31
0.346
1.32
0.348
1.33
0.351 1.34
0.353
0.355
0.358
0.360
0.321
0.324
2.92
2.93
z
2.94
0.496 2.95
0.496
0.362
0.364
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.
1.35
1.36
1.37
1.38
1.09
1.39
1.10
1.40 0.419
1.11
0.367
1.41
0.421
1.12
0.369
1.42
0.422
1.72
1.13
0.371 1.43
0.424 1.73
1.14
0.373
1.44
0.425
1.15 0.375
1.45
0.426
1.16
0.377
1.46
0.428
1.29
1.30
A
Z
0.385 1.50
0.387
1.51
0.389 1.52
0.391 1.53
0.393
1.54
0.394
1.55
0.396 1.56
0.398
1.57
0.400
1.58
0.401
1.59
1.60
1.61
0.498
2.96 0.498
0.403
0.405
0.407
0.408
0.410
0.411
0.413
0.415
0.416
0.418 1.69
1.70
1.71
3.03 0.499 3.33
3.04
3.05
2.76 0.497 3.06
2.77 0.497
0.497
0.497
0.497
2.81
0.498
0.494 2.82 0.498
0.494
0.498
2.83
3.13
0.494
2.84
0.498
3.14
0.495 2.85
0.498 3.15
0.495
0.498
2.86
0.495 2.87
0.498
0.495
2.88
0.495
2.89
0.495
2.90
2.91
1.62
1.63
1.64
0.449
1.65 0.451
1.66
0.452
1.67
0.453
1.68
0.454
0.454
0.455
0.456
0.457
0.458
0.459
0.460
0.461
1.74
1.75
1.76
A
Z
Z
A
0.497 3.00 0.499 3.30
0.497 3.01 0.499 3.31
0.497 3.02 0.499 3.32
A
0.433
0.434
0.499
0.499
0.436
0.437
0.438
0.439
0.441
0.442
0.443
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.
0.444
0.445
0.446
0.447
0.448
A
0.500
0.500
0.500
0.500
0.499 3.34
0.500
0.499 3.35
0.500
0.499 3.36 0.500
0.500
3.07 0.499 3.37
3.08
0.499 3.38
0.500
3.09
0.499
3.39
0.500
3.10
0.499
3.40 0.500
3.11
0.499
3.41
0.500
3.12
0.499
3.42
0.499
3.43
3.44
3.45
3.16 0.499
3.46
3.17
0.499
3.47
0.498
0.499
3.48
3.18
0.498 3.19 0.499 3.49
0.498
0.499 3.50
3.20
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
0.499 3.54 0.500
3.24
0.499
3.25
3.55 0.500
3.26 0.499 3.56 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) 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 0.00 0.01 0.16 0.17 0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.25 A Z Z 0.000 0.60 0.30 0.31 0.004 0.122 0.61 0.02 0.008 0.62 0.63 0.32 0.126 0.03 0.012 0.33 0.129 0.04 0.34 0.016 0.133 0.64 0.05 0.020 0.35 0.137 0.65 0.06 0.024 0.36 0.141 0.66 0.245 0.96 0.07 0.028 0.37 0.144 0.67 0.249 0.97 0.148 0.68 0.252 0.255 0.99 0.08 0.032 0.38 0.98 0.09 0.036 0.39 0.152 0.69 0.10 0.040 0.40 0.155 0.70 0.258 1.00 0.11 0.044 0.41 0.159 0.71 0.261 1.01 0.12 0.048 0.42 0.264 1.02 0.13 0.052 0.43 0.267 1.03 0.14 0.056 0.74 0.270 1.04 0.15 0.060 0.45 0.174 0.75 0.273 1.05 0.774 0.46 0.177 0.76 0.276 1.06 0.181 0.47 0.77 0.279 1.07 0.48 0.184 0.78 0.282 1.08 0.49 0.188 0.79 0.285 0.191 0.50 0.80 0.288 0.51 0.81 0.291 0.82 0.83 0.205 0.84 0.85 0.86 0.212 0.064 0.067 Z 1.80 0.071 0.075 0.079 0.083 0.087 0.52 0.091 0.53 0.095 0.099 0.26 0.103 0.56 0.44 0.170 A 0.118 1.98 1.99 0.465 0.466 0.163 0.166 0.54 0.55 0.209 1.81 1.82 1.83 0.466 2.13 1.84 1.85 1.86 1.87 1.88 1.89 1.90 1.91 0.195 0.198 0.202 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. 2.19 2.20 2.21 2.22 2.23 0.72 0.73 Standard Normal Curve Areas (page 2) 1.92 1.93 0.473 1.94 0.474 2.24 0.487 0.474 2.25 0.488 1.95 1.96 0.475 2.26 1.97 A 0.226 0.90 0.229 0.232 0.236 0.239 0.94 0.242 0.95 2.12 0.483 2.42 0.483 2.43 0.467 2.14 0.484 2.44 0.468 2.15 0.484 2.45 0.469 2.16 2.46 0.485 0.485 2.47 0.469 2.17 0.470 2.18 0.485 0.471 0.486 0.471 0.486 0.472 0.486 0.473 0.487 0.487 0.294 0,297 0.300 0.302 0.305 0 z Z A 0.316 0.91 0.319 0.92 0.93 0 Z z A z A A 0.464 2.10 0.482 2.40 0.492 2.70 0.492 2.71 0.492 2.72 0.492 2.73 0.497 2.11 0.483 2,41 0.493 2.74 0.497 0.493 2.75 0.497 0.493 0.493 2.48 0.493 2.78 2.49 0.494 2.79 2.50 0.494 2.80 0.494 2.51 2.52 2.53 2.54 2.55 2.56 0.488 2.27 2.57 0.488 0.476 0.476 2.28 0.489 2.58 0.477 2.29 0.489 2.59 2.00 0.477 2.30 0.489 2.60 2.01 0.478 2.31 0.490 2.61 2.02 0.478 2.32 0.490 2.62 2.03 0.479 2.33 0.490 2.63 0.496 2.04 0.479 2.34 0.490 2.64 0.496 2.05 0.480 2.35 0.491 2.65 2.06 0.480 2.36 0.491 2.66 Areas under the Normal Curve 0.495 0.496 Z 1.20 1.21 1.22 1.23 0.326 1.24 0.329 1.25 0.331 1.26 0.334 1.27 0.336 1.28 0.339 0.341 0.344 1.31 0.346 1.32 0.348 1.33 0.351 1.34 0.353 0.355 0.358 0.360 0.321 0.324 2.92 2.93 z 2.94 0.496 2.95 0.496 0.362 0.364 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. 1.35 1.36 1.37 1.38 1.09 1.39 1.10 1.40 0.419 1.11 0.367 1.41 0.421 1.12 0.369 1.42 0.422 1.72 1.13 0.371 1.43 0.424 1.73 1.14 0.373 1.44 0.425 1.15 0.375 1.45 0.426 1.16 0.377 1.46 0.428 1.29 1.30 A Z 0.385 1.50 0.387 1.51 0.389 1.52 0.391 1.53 0.393 1.54 0.394 1.55 0.396 1.56 0.398 1.57 0.400 1.58 0.401 1.59 1.60 1.61 0.498 2.96 0.498 0.403 0.405 0.407 0.408 0.410 0.411 0.413 0.415 0.416 0.418 1.69 1.70 1.71 3.03 0.499 3.33 3.04 3.05 2.76 0.497 3.06 2.77 0.497 0.497 0.497 0.497 2.81 0.498 0.494 2.82 0.498 0.494 0.498 2.83 3.13 0.494 2.84 0.498 3.14 0.495 2.85 0.498 3.15 0.495 0.498 2.86 0.495 2.87 0.498 0.495 2.88 0.495 2.89 0.495 2.90 2.91 1.62 1.63 1.64 0.449 1.65 0.451 1.66 0.452 1.67 0.453 1.68 0.454 0.454 0.455 0.456 0.457 0.458 0.459 0.460 0.461 1.74 1.75 1.76 A Z Z A 0.497 3.00 0.499 3.30 0.497 3.01 0.499 3.31 0.497 3.02 0.499 3.32 A 0.433 0.434 0.499 0.499 0.436 0.437 0.438 0.439 0.441 0.442 0.443 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. 0.444 0.445 0.446 0.447 0.448 A 0.500 0.500 0.500 0.500 0.499 3.34 0.500 0.499 3.35 0.500 0.499 3.36 0.500 0.500 3.07 0.499 3.37 3.08 0.499 3.38 0.500 3.09 0.499 3.39 0.500 3.10 0.499 3.40 0.500 3.11 0.499 3.41 0.500 3.12 0.499 3.42 0.499 3.43 3.44 3.45 3.16 0.499 3.46 3.17 0.499 3.47 0.498 0.499 3.48 3.18 0.498 3.19 0.499 3.49 0.498 0.499 3.50 3.20 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 0.499 3.54 0.500 3.24 0.499 3.25 3.55 0.500 3.26 0.499 3.56 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
Find the percent of area under a normal curve between the mean and - 1.18 standard deviations from the mean. (Note that positive indicates above the mean, while negative
indicates below the mean.)
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 percentage of area under a normal curve between the mean and -1.18 standard deviations is%.
(Round to the nearest tenth as needed.)
Transcribed Image Text:Find the percent of area under a normal curve between the mean and - 1.18 standard deviations from the mean. (Note that positive indicates above the mean, while negative indicates below the mean.) 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 percentage of area under a normal curve between the mean and -1.18 standard deviations is%. (Round to the nearest tenth as needed.)
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