he average length of the fish caught in Vernal Lake is 11.8 inches, with a standard deviation of 3.4 inches Find the probability that a fish caught there will be longer than 16 inches. The probability that a fish will be longer than 16 inches is ( Round to three decimal places as needed .)
he average length of the fish caught in Vernal Lake is 11.8 inches, with a standard deviation of 3.4 inches Find the probability that a fish caught there will be longer than 16 inches. The probability that a fish will be longer than 16 inches is ( Round to three decimal places 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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The average length of the fish caught in Vernal Lake is 11.8 inches, with a standard deviation of 3.4 inches Find the probability that a fish caught there will be longer than 16 inches.
The probability that a fish will be longer than 16 inches is ( Round to three decimal places as needed .)
Transcribed Image Text:Standard Normal Curve Areas (page 2)
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.
0.470 2.18
0.471 2.19
0.471 2.20
1.91
0.472 2.21
1.92
0.473 2.22
0.473
1.93
2.23
1.94 0.474 2.24
1.95 0.474 2.25
1.96 0.475 2.26
0.476 2.27
0.476 2.28
1.97
1.98
1.99 0.477 2.29
2.00 0.477
2.01
2.02
2.03
2.04
2.05
2.06
2.07
A
0.482
2.40
0.483 2.41
Z
A
Z
A
Z
0.492
2.70
1.80 0.464 2.10
1.81 0.465 2.11
0.492
2.71
1.82
0.466 2.12
0.483 2.42
0.492 2.72
1.83
2.13 0.483 2.43
0.492 2.73
0.466
0.467 2.14 0.484 2.44
1.84
0.493 2.74
1.85
0.468 2.15
0.484 2.45
0.493 2.75
1.86
0.469 2.16
1.87
0.469 2.17
1.88
0.485 2.46 0.493 2.76
0.485 2.47 0.493 2.77
0.485 2.48 0.493 2.78
0.486 2.49 0.494 2.79
0.494 2.80
1.89
1.90
0.486 2.50
2.51
2.52
0.494 2.81
0.494 2.82
0.494 2.83
2.53
0.494 2.84
0.495
2.85
0.495
2.86
0.495
2.87
0.495
2.88
2.89
2.90
2.91
2.92
2.93
2.94
0.480
0.480
0.481
0.481
2.35
2.36
2.37
2.08
2.38
2.09 0.482 2.39
N2
0.489 2.59
2.60
0.489
2.30
0.478 2.31 0.490 2.61
0.478
2.32
0.490 2.62
0.479 2.33
0.490
2.63
0.479 2.34
0.490
2.64
0.491
2.65
0.491
2.66
0.491
2.67
0.491
2.68
0.492 2.69
0.486
0.487
0.487
0.487 2.54
0.488
2.55
0.488
2.56
0.488 2.57
0.489 2.58
0
0.495
0.495
0.495
0.496
0.496
0.496
0.496
0.496
0.496
0.496
0.496
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.
A
Z
0.497 3.00
0.497 3.01
3.02
0.497
0.497
3.03
0.497 3.04 0.499 3.34
3.35
3.05 0.499
3.06 0.499
3.36
0.499
3.37
0.497
0.497
0.497 3.07
0.497 3.08
0.497 3.09
0.497 3.10
0.498 3.11
0.499
3.38
0.499 3.39
0.499
3.40
0.499
3.41
0.499 3.42
0.498 3.12
3.13
0.498
0.498 3.14
0.499
3.43
0.499
0.498
3.15
0.499
0.498
3.16
0.499
0.498
0.499
3.17
0.498 3.18
0.498 3.19
0.498 3.20
3.21
0.498
0.498 3.22
0.498 3.23
0.498 3.24
0.498 3.25
0.498 3.26
3.27
3.28
3.29
A
Z
A
0.499
3.30 0.500
0.499 3.31 0.500
0.499 3.32 0.500
0.499 3.33 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
0.500
0.500
0.500
2.95
2.96
0.499
2.97
2.98
0.499
2.99
0.499
3.44
3.45
3.46
3.47
0.499 3.48
0.499
3.49
0.499
3.50
0.499
3.51
0.499 3.52
0.499
3.53
0.499 3.54
0.499 3.55
0.499 3.56
0.499 3.57
0.499 3.58
0.499
3.59
0.500
0.500
0.500
I
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
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
0.028 0.37 0.144 0.67
0.07
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
0.11
0.044
0.41
0.71
0.12
0.048
0.42
0.72
0.13
0.052
0.43
0.73
0.14
0.056 10.44
0.74
0.15
0.45
0.060
0.75
0.064 0.46
0.76
0.77
0.16
0.17 0.067 0.47
0.18
0.19 0.075 0.49
0.071 0.48
0.78
0.20
0.079
0.50
0.21
0.083
0.51
0.22
0.087 0.52
0.198 0.82
0.23 0.091 0.53
0.202 0.83
0.84
0.24 0.095
0.205
0.54
0.25
0.55 0.209
0.099
0.85
0.26 0.103 0.56 0.212 0.86
0.27 0.106 0.57
0.28
0.110 0.58 0.219 0.88
0.89
0.29 0.114 0.59 0.222
0.216 0.87
0.159
0.163
0.166
0.170
0.174
0.177
0.181
0.184
0.188
0.191
0.195
CON
0.79
0.80
0.81
0 Z
N
A
0.316
0.319
A
0.226 0.90
0.229 0.91
0.92
0.232
0.236 0.93
0.239 0.94
0.242 0.95
0.245 0.96
0.249 0.97 0.334
0.252 0.98
0.255 0.99 0.339
0.258
1.00
0.341
0.261
1.01
0.344
0.264
1.02 0.346
0.267
1.03
0.348
0.270
1.04
0.351 1.34
0.273 1.05
0.353
1.35
0.276
1.06
0.355
1.36
0.279
1.07 0.358
1.37
0.282
1.08
0.360
1.38
0.285
1.09
0.362 1.39
0.288
0.364
1.10
1.40
0.291
1.11
0.367
1.41
0.294
1.12
0.369
1.42
0.297
1.13
0.371 1.43
0.300
1.14
0.373
1.44
0.302
1.15
0.375
1.45
0.377
1.16
1.46
0.305
1.47
0.379
1.17
0.308
1.48
1.18 0.381
0.311
0.383 1.49
0.313 1.19
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.
A
Z
0.385 1.50
0.387
1.51
z
1.20
1.21
0.321
1.22
0.389
1.52
0.324 1.23 0.391
1.53
0.393 1.54
0.326 1.24
0.329 1.25 0.394 1.55
0.331 1.26 0.396 1.56
1.27 0.398 1.57
0.336 1.28
1.29
0.400 1.58
0.401
1.59
1.30
0.403 1.60
0.405
1.61
0.407
1.62
0.408
1.63
0.410
1.64
0.411
1.65
0.413
1.66
0.415
1.67
0.416 1.68
0.418
1.69
0.419
1.70
0.421
1.71
0.422 1.72
1.31
1.32
1.33
0.424 1.73
0.425
1.74
0.426
1.75
0.428 1.76
0.429 1.77
0.431
1.78
0.432 1.79
A
0.433
0.434
0.436
0.437
0.438
0.439
0.441
0.442
0.443
0.444
0.445
0.446
0.447
0.448
0.449
0.451
0.452
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
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