A company makes electrical resistors. The perfect resistor has a value of 400 ohms. A sample of 2000 resistors was tested and found to have a mean of 391.5 ohms and a standard deviation of 22.5 ohms. Assuming a normal distribution: a. How many resistors in the sample will have more than 440 ohms of resistance? b. How many resistors in the sample will have less than 360 ohms of resistance? note: you can use the frequency distribution table picture I attached.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A company makes electrical resistors. The perfect resistor has a value of 400 ohms. A sample of 2000 resistors was tested and found to have a mean of 391.5 ohms and a standard deviation of 22.5 ohms. Assuming a normal distribution:
a. How many resistors in the sample will have more than 440 ohms of resistance?
b. How many resistors in the sample will have less than 360 ohms of resistance?

note: you can use the frequency distribution table picture I attached.  

Areas under the Standard
Normal Curve from 0 to z
z 00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.0000
.004 0
.008.0
.012 0
.016 0
.019 9
.023 9
.027 9
.031 9
.035 9
0.1
.039 8
.043 3
.047 8
.051 7
.055 7
.059 6
.063 6 .0675
.071 4
.075 4
0.2
.079 3
.083 2
.087 1
.091 0 .0948
.098 7
102 6
.106 4
.110 3
.114 1
0.3
.117 9
.121 7
.125 5
.129 3
.133 1
.136 8
140 6
.144 3
.148 0
.151 7
0.4 .155 4
.159 1
.162 8
.166 4
.170 0
.173 6
177 2
.180 8
.184 1
.187 9
0.5
.191 5
.195 0
.198 5
.201 9
.205 4
.208 8
.212 3
.215 7
.219 0
.222 4
0.6
.225 8
.229 1
.232 4
.235 7
.238 9
.242 2
.245 4
.2486
.251 8
.254 9
0.7
.258 0
.261 2
.264 2
.267 3
.270 4
.273 4
.276 4
.279 4
.282 3
.285 2
0.8
.288 1
.291 0
.293 9
.296 7
.299 6
.302 3
.305 1
.307 8
.310 6
.313 3
0.9
.315 9
.318 6
.321 2
.323 8
.326 4
.328 9
.331 5
.334 0
.336 5
.338 9
1.0
.341 3
.343 8
.3461
.348 5
.350 8
.353 1
.355 4
.357 7
.359 9
.362 1
1.1
.364 3
.366 5
.3686
.370 8
.372 9
.374 9
.377 0 .3790
.381 0 .383 0
1.2
.384 9
.386 9
.388 8
.390 7
.392 5
.394 4
.396 2
.398 0
.399 7
.401 5
1.3 .403 2
.404 9
.406 6
.408 2
.409 9
.411 5
.413 1
.414 7
.416 2
.417 7
1.4 .419 2
.420 7 .4222
.423 6
.425 1
.426 5
.427 9
.429 2
.430 6 .4319
1.5
.433 2 .4345
.435 7
.437 0
.438 2
.439 4
.440 6
.441 8
.442 9
.444 1
1.6
.445 2
.446 3
.447 4
.448 4
.449 5
.450 5
.451 5
.452 5
.453 5
.454 5
1.7
.4555
.456 4
.457 3
.458 2
.459 1
.459 9
.460 8
.461 6
.462 5 .463 3
1.8
.464 1
.464 9
.465 6
.466 4
.467 1
.467 8
.468 6
.469 3
.469 9
.470 6
1.9
.471 3
.471 9
.472 6
.473 2
.473 8
.474 4
.475 0
.475 6
.476 1
.476 7
2.0 .477 2
.477 8 .478 3
.478 8
.479 3
.479 8
.480 3 .4808
.481 2
.481 7
Transcribed Image Text:Areas under the Standard Normal Curve from 0 to z z 00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .0000 .004 0 .008.0 .012 0 .016 0 .019 9 .023 9 .027 9 .031 9 .035 9 0.1 .039 8 .043 3 .047 8 .051 7 .055 7 .059 6 .063 6 .0675 .071 4 .075 4 0.2 .079 3 .083 2 .087 1 .091 0 .0948 .098 7 102 6 .106 4 .110 3 .114 1 0.3 .117 9 .121 7 .125 5 .129 3 .133 1 .136 8 140 6 .144 3 .148 0 .151 7 0.4 .155 4 .159 1 .162 8 .166 4 .170 0 .173 6 177 2 .180 8 .184 1 .187 9 0.5 .191 5 .195 0 .198 5 .201 9 .205 4 .208 8 .212 3 .215 7 .219 0 .222 4 0.6 .225 8 .229 1 .232 4 .235 7 .238 9 .242 2 .245 4 .2486 .251 8 .254 9 0.7 .258 0 .261 2 .264 2 .267 3 .270 4 .273 4 .276 4 .279 4 .282 3 .285 2 0.8 .288 1 .291 0 .293 9 .296 7 .299 6 .302 3 .305 1 .307 8 .310 6 .313 3 0.9 .315 9 .318 6 .321 2 .323 8 .326 4 .328 9 .331 5 .334 0 .336 5 .338 9 1.0 .341 3 .343 8 .3461 .348 5 .350 8 .353 1 .355 4 .357 7 .359 9 .362 1 1.1 .364 3 .366 5 .3686 .370 8 .372 9 .374 9 .377 0 .3790 .381 0 .383 0 1.2 .384 9 .386 9 .388 8 .390 7 .392 5 .394 4 .396 2 .398 0 .399 7 .401 5 1.3 .403 2 .404 9 .406 6 .408 2 .409 9 .411 5 .413 1 .414 7 .416 2 .417 7 1.4 .419 2 .420 7 .4222 .423 6 .425 1 .426 5 .427 9 .429 2 .430 6 .4319 1.5 .433 2 .4345 .435 7 .437 0 .438 2 .439 4 .440 6 .441 8 .442 9 .444 1 1.6 .445 2 .446 3 .447 4 .448 4 .449 5 .450 5 .451 5 .452 5 .453 5 .454 5 1.7 .4555 .456 4 .457 3 .458 2 .459 1 .459 9 .460 8 .461 6 .462 5 .463 3 1.8 .464 1 .464 9 .465 6 .466 4 .467 1 .467 8 .468 6 .469 3 .469 9 .470 6 1.9 .471 3 .471 9 .472 6 .473 2 .473 8 .474 4 .475 0 .475 6 .476 1 .476 7 2.0 .477 2 .477 8 .478 3 .478 8 .479 3 .479 8 .480 3 .4808 .481 2 .481 7
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