Find the value of z such that 64.8% of the total area is to the left of z. Click to view the areas under the Standard Normal Curve. Z= (Round to two decimal places as needed.)

A First Course in Probability (10th Edition)
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Find the value of z such that 64.8% of the total area is to the left of z.
Click to view the areas under the Standard Normal Curve.
Z=
(Round to two decimal places as needed.)
Transcribed Image Text:Find the value of z such that 64.8% of the total area is to the left of z. Click to view the areas under the Standard Normal Curve. Z= (Round to two decimal places as needed.)
Areas under the Standard Normal Curve
The column under A gives the fraction of
the area under the entire curve that is
between z= 0 and a positive value of z
A
0
2
Because the curve is symmetric about the
0-value, the area between z= 0 and a
negative value of zcan be found by using
the corresponding positive value of z.
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
A
z
A
Z
A
Z
A
A
000
z A
Z
.56 .212 1.12 .369 1.68 454 2.24 487 2.80 .497
004 .57 .216 1.13 .371 1.69 454 2.25 488 2.81 498
008 .58 .219 1.14 .373 1.70 455 2.26 488 2.82 498
012 .59 .222 1.15 1375 1.71 456 2.27 488 2.83 498
.226 1.16 .377 1.72 457 2.28 489 2.84 498
.229 1.17 .379 1.73 458 2.29
489 2.85
.232 1.18 .381 1.74
.016 .60
.020 .61
498
.489 2.86
498
1.75
2.31 .490 2.87 .498
1.20 .385 1.76
.461
2.32
.236 1.19 .383
.239
.242 1.21 .387
.245 1.22 .389
1.77
.462
2.33
1.78
.462
2.34 .490 2.90
.463
.249
.252
1.23 .391 1.79
1.24 .393 1.80 .464 2.36
.490 2.88 498
.490 2.89 498
498
2.35 .491 2.91 498
.491
2.92 498
.255 1.25 .394 1.81 .465 2.37 .491 2.93 498
.258 1.26 .396 1.82 .466 2.38 491 2.94 498
.261 1.27
.398
1.83
.466 2.39 .492 2.95 498
.264 1.28 .400 1.84 .467 2.40 .492 2.96 498
.267 1.29 .401 1.85 468 2.41 .492 2.97 499
.270 1.30 .403 1.86 .469 2.42 .492 2.98 .499
.273 1.31 .405 1.87 .469 2.43 .492 2.99 499
1.32 .407 1.88 .470 2.44 .493
3.00
.499
.408 1.89 .471 2.45 .493
1.276
.279
1.33
3.01
499
.282
1.34
.410
.471 2.46 493
3.02
.499
1.35 .411
1.90
1.91
.472
2.47
1.92 .473 2.48
.493 3.03
1.36 .413
493 3.04
1.37
.82 .294 1.38
.415
.416
1.39 .418
1.40 .419
1.93 .473 2.49
1.94 474 2.50
1.95 .474
2.51
1.96 475
.297
.84 .300
2.52
1.41
476
1.42
476
1.43
.424
425
1.44
1.45
.426
1.46
428
.19
.20
.21
.22
.024 .62
.028 .63
.032 .64
.036
.040 .66
.044 .67
.048
.052
.056
.060
.10
.11
.12
.13
.14
.15
.16
.064
.17
.067 .73
.18 .071 .74
.075
.079
.083
.087
28682ECOECHERI 8588
.65
.091
.095
.69
.70
.71
.72
.75
.76
.77
.78
.23
.79
.285
.24
.80
.288
.25 .099 .81 .291
.26 .103
.27 .106 .83
.28
.110
29
.114
.30
.118
.31
.122
.32
.126
.33 .129 .89
.34
.85 .302
.305
.86
.308
.311
1.313
.133 .90 .316
.87
.421 1.97
.422
1.98
1.99
2.00
2.01
2.02
.459 2.30
460
2.53
2.54
.477
2.55
477
2.56
478
2.57
478 2.58
494 3.05
494
3.06
.494 3.07
494
3.08
494
.494
495
3.11
.495 3.12
495 3.13
.495
3.14
3.09
3.10
499
499
.499
.499
.499
499
499
499
499
499
.499
.499
Transcribed Image Text:Areas under the Standard Normal Curve The column under A gives the fraction of the area under the entire curve that is between z= 0 and a positive value of z A 0 2 Because the curve is symmetric about the 0-value, the area between z= 0 and a negative value of zcan be found by using the corresponding positive value of z. z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 A z A Z A Z A A 000 z A Z .56 .212 1.12 .369 1.68 454 2.24 487 2.80 .497 004 .57 .216 1.13 .371 1.69 454 2.25 488 2.81 498 008 .58 .219 1.14 .373 1.70 455 2.26 488 2.82 498 012 .59 .222 1.15 1375 1.71 456 2.27 488 2.83 498 .226 1.16 .377 1.72 457 2.28 489 2.84 498 .229 1.17 .379 1.73 458 2.29 489 2.85 .232 1.18 .381 1.74 .016 .60 .020 .61 498 .489 2.86 498 1.75 2.31 .490 2.87 .498 1.20 .385 1.76 .461 2.32 .236 1.19 .383 .239 .242 1.21 .387 .245 1.22 .389 1.77 .462 2.33 1.78 .462 2.34 .490 2.90 .463 .249 .252 1.23 .391 1.79 1.24 .393 1.80 .464 2.36 .490 2.88 498 .490 2.89 498 498 2.35 .491 2.91 498 .491 2.92 498 .255 1.25 .394 1.81 .465 2.37 .491 2.93 498 .258 1.26 .396 1.82 .466 2.38 491 2.94 498 .261 1.27 .398 1.83 .466 2.39 .492 2.95 498 .264 1.28 .400 1.84 .467 2.40 .492 2.96 498 .267 1.29 .401 1.85 468 2.41 .492 2.97 499 .270 1.30 .403 1.86 .469 2.42 .492 2.98 .499 .273 1.31 .405 1.87 .469 2.43 .492 2.99 499 1.32 .407 1.88 .470 2.44 .493 3.00 .499 .408 1.89 .471 2.45 .493 1.276 .279 1.33 3.01 499 .282 1.34 .410 .471 2.46 493 3.02 .499 1.35 .411 1.90 1.91 .472 2.47 1.92 .473 2.48 .493 3.03 1.36 .413 493 3.04 1.37 .82 .294 1.38 .415 .416 1.39 .418 1.40 .419 1.93 .473 2.49 1.94 474 2.50 1.95 .474 2.51 1.96 475 .297 .84 .300 2.52 1.41 476 1.42 476 1.43 .424 425 1.44 1.45 .426 1.46 428 .19 .20 .21 .22 .024 .62 .028 .63 .032 .64 .036 .040 .66 .044 .67 .048 .052 .056 .060 .10 .11 .12 .13 .14 .15 .16 .064 .17 .067 .73 .18 .071 .74 .075 .079 .083 .087 28682ECOECHERI 8588 .65 .091 .095 .69 .70 .71 .72 .75 .76 .77 .78 .23 .79 .285 .24 .80 .288 .25 .099 .81 .291 .26 .103 .27 .106 .83 .28 .110 29 .114 .30 .118 .31 .122 .32 .126 .33 .129 .89 .34 .85 .302 .305 .86 .308 .311 1.313 .133 .90 .316 .87 .421 1.97 .422 1.98 1.99 2.00 2.01 2.02 .459 2.30 460 2.53 2.54 .477 2.55 477 2.56 478 2.57 478 2.58 494 3.05 494 3.06 .494 3.07 494 3.08 494 .494 495 3.11 .495 3.12 495 3.13 .495 3.14 3.09 3.10 499 499 .499 .499 .499 499 499 499 499 499 .499 .499
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