Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 522 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?

Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 522 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
0.00 0.000 056 0.212 0.004 057 0.216 0.008 0.58 0.219 0.03 0.012 0.59 0.222 0.60 | 0.226 0.61 0.229 0.62 0.232 0.63 1.12 0.369 L.13 0371 L.14 0373 1.15 0.375 1.16 0.377 L.17 0379 L18 0381 L.19 0.383 1.20 0.385 1.68 0.454 0.454 2.80 0.497 2.81 0.498 282 0.498 283 0.498 284 0.498 2.85 0.498 2.86 0.498 287 0.498 2.24 0.487 0.01 1.69 2.25 0.488 0.02 1.70 0.455 2.26 0.488 1.71 0.456 2.27 0.488 1.72 0.457 0.016 0.020 0.04 2.28 0.489 0.05 1.73 0.458 2.29 0.489 0.06 | 0.024 1.74 0.459 2.30 0.489 0.07 0.028 0.236 1.75 0.460 2.31 0.490 0.08 0.032 0.64 0.239 0.65 0.242 0.66 0.245 0.67 0.249 0.68 0.252 0.69 0.255 0.70 | 0.258 1.76 0.461 2.32 0.490 2.88 0.498 1.21 0387 2.89 |0.498 2.90 |0498 2.91 0.498 2.92 0.498 293 0498 0.09 006 0.10 | 0040 1.77 0.462 2.33 0.490 1.22 0.389 1.23 0.391 1.24 0.393 1.25 0.394 1.26 0.396 1.27 0.398 1.28 0.400 1.29 0.401 1.30 0.403 1.31 0.405 1.32 0.407 1.33 0.408 1.34 0.410 1.35 0.411 1.36 0413 1.37 0.415 1.38 0.416 1.39 0.418 1.40 0.419 1.41 0.421 1.42 0.422 1.43 0.424 1.44 0.425 1.45 0.426 1.46 0.428 1.47 |0.429 1.48 0.431 1.49 0.432 1.50 0.433 1.31 0.434 1.52 0.436 1.53 0.437 1.54 0.438 1.55 0439 1.56 0.441 1.57 0.442 1.58 0.443 1.59 0.444 1.60 0.445 0.446 1,62 0.447 1.63 0.448 1.64 0.449 1.78 0.462 2.34 0.490 0.11 0.044 1.79 0.463 2.35 0.491 1.80 0.464 0.12 0.048 0.13 | 0.052 0.056 2.36 0.491 1.81 0.465 2.37 0.491 294 0.498 2.95 0.498 2.96 0.498 297 | 0.499 2.98 0.499 2.99 0.499 3.00 0.14 1.82 0.466 2.38 0.491 0.15 0.060 0.71 0.261 183 0.466 2.39 0.492 0.72 0.264 0.73 0.267 1.84 0.467 0.16 | 0.064 0.17 0.067 0.18 0.071 2.40 0.492 0.492 0.492 1.85 0.468 2.41 0.74 0.270 0.19 0.075 0.75 0.273 0.20 0.079 0.76 0.276 0.083 0.77 0.279 0.78 0.282 0.79 0.285 O.50 0.288 081 0.291 0.82 0.294 0.83 0.297 0.469 1.86 1.87 2.42 243 2.44 0.469 0.492 1.88 0.470 1.89 0.471 0.493 0.499 2.45 0.493 3.01 0.499 3.02 0.499 3.03 0.499 3.04 0.499 3.05 0499 3.06 0.499 0.21 0.087 0.23 0.09I 0.24 0.095 0.25 0.22 1.90 0.471 2.46 0.493 1.91 0.472 2.47 0.493 1.92 0.473 0.493 2.49 0.494 2.50 0.494 2.48 0.099 1.93 0.473 0.26 | 0.103 1.94 0.474 1.95 0.474 1.96 0.475 1.97 0.27 0.106 2.51 0.494 3.07 0.499 0.28 0.110 0.84 0.300 2.52 0.494 3.08 0.499 0.85 0.302 0.86 0.30s 0.87 0.308s 0.88 0.311 0.89 0.313 0.90 | 0.316 0.91 0.29 0114 0.476 2.53 0.494 3.09 0.499 0.30 0.118 0.122 1.98 0.476 2.54 0.494 3.10 0.499 1.99 0.477 2.00 0.477 0.478 3.110.499 3.12 0.499 3.13 0.499 0.31 2.55 0.495 0.32 0.126 2.56 0.495 0.33 0.129 201 2.57 0.495 0.34 0.133 0.35 0.137 2.02 0.478 2.58 0.495 3.14 0.499 0.319 2.03 0.479 2.59 0.495 3.15 0.499 0.36 | 0.141 0.92 |0.321 2.04 0.479 2.60 0.495 3.16 0.499 3.17 0.499 0.93 0.324 0.94 0.326 2.05 0.480 2.61 0.495 0.37 0.144 0.38 0.148 2.06 0.480 2.62 0.496 3.18 0.499 0.496 3.19 0499 3.20 |0499 0.496 3.210.499 3.22 0.499 0.496 3.23 0.499 0.496 3.24 0499 3.25 0.499 3.26 | 0.499 3.27 0.499 3.28 0.499 207 0.481 0.95 0.329 0.96 0.331 0.39 0.152 2.63 0.40 0.155 2.08 0.481 2.64 0.496 0.41 0.159 0.97 0.334 2.09 0.482 2.65 0.163 0.43 0.166 0.42 0.98 0.336 2.10 0.482 2.66 0.496 0.99 0.339 1.00 0.341 2.11 0.483 2.67 0.44 0.170 2.12 0.483 2.68 0.45 0.174 0.344 0.496 2.13 2.14 0.483 2.69 0.46 0.177 1.02 0.346 2.70 0.497 0.484 2.15 0.484 0.485 0.47 0.181 1.03 0.348 2.71 0.497 0.48 0.184 1.04 0.351 2.16 2.72 0.497 0.499 0.500 0.49 0.188 1.05 0.353 1.61 2.17 0.485 2.73 0.497 3.29 1.06 0.355 107 0.358 1.08 0.360 1.09 0.362 L.10 0.364 LII 0.367 0.50 0.191 2.18 0.485 2.74 0.497 3.30 0.51 0.195 2.19 0.486 2.75 0.497 3.31 0.500 332 0.500 0.52 | 0.198 0.53 0.202 2.20 0.486 2.76 0.497 0.486 2.22 0.487 2.23 0.487 1.65 0.451 221 2.77 | 0.497 333 0.500 0.54 0.205 0.55 0.209 1.66 0.452 1.67 0.453 2.78 0.497 2.79 0.497
Transcribed Image Text:0.00 0.000 056 0.212 0.004 057 0.216 0.008 0.58 0.219 0.03 0.012 0.59 0.222 0.60 | 0.226 0.61 0.229 0.62 0.232 0.63 1.12 0.369 L.13 0371 L.14 0373 1.15 0.375 1.16 0.377 L.17 0379 L18 0381 L.19 0.383 1.20 0.385 1.68 0.454 0.454 2.80 0.497 2.81 0.498 282 0.498 283 0.498 284 0.498 2.85 0.498 2.86 0.498 287 0.498 2.24 0.487 0.01 1.69 2.25 0.488 0.02 1.70 0.455 2.26 0.488 1.71 0.456 2.27 0.488 1.72 0.457 0.016 0.020 0.04 2.28 0.489 0.05 1.73 0.458 2.29 0.489 0.06 | 0.024 1.74 0.459 2.30 0.489 0.07 0.028 0.236 1.75 0.460 2.31 0.490 0.08 0.032 0.64 0.239 0.65 0.242 0.66 0.245 0.67 0.249 0.68 0.252 0.69 0.255 0.70 | 0.258 1.76 0.461 2.32 0.490 2.88 0.498 1.21 0387 2.89 |0.498 2.90 |0498 2.91 0.498 2.92 0.498 293 0498 0.09 006 0.10 | 0040 1.77 0.462 2.33 0.490 1.22 0.389 1.23 0.391 1.24 0.393 1.25 0.394 1.26 0.396 1.27 0.398 1.28 0.400 1.29 0.401 1.30 0.403 1.31 0.405 1.32 0.407 1.33 0.408 1.34 0.410 1.35 0.411 1.36 0413 1.37 0.415 1.38 0.416 1.39 0.418 1.40 0.419 1.41 0.421 1.42 0.422 1.43 0.424 1.44 0.425 1.45 0.426 1.46 0.428 1.47 |0.429 1.48 0.431 1.49 0.432 1.50 0.433 1.31 0.434 1.52 0.436 1.53 0.437 1.54 0.438 1.55 0439 1.56 0.441 1.57 0.442 1.58 0.443 1.59 0.444 1.60 0.445 0.446 1,62 0.447 1.63 0.448 1.64 0.449 1.78 0.462 2.34 0.490 0.11 0.044 1.79 0.463 2.35 0.491 1.80 0.464 0.12 0.048 0.13 | 0.052 0.056 2.36 0.491 1.81 0.465 2.37 0.491 294 0.498 2.95 0.498 2.96 0.498 297 | 0.499 2.98 0.499 2.99 0.499 3.00 0.14 1.82 0.466 2.38 0.491 0.15 0.060 0.71 0.261 183 0.466 2.39 0.492 0.72 0.264 0.73 0.267 1.84 0.467 0.16 | 0.064 0.17 0.067 0.18 0.071 2.40 0.492 0.492 0.492 1.85 0.468 2.41 0.74 0.270 0.19 0.075 0.75 0.273 0.20 0.079 0.76 0.276 0.083 0.77 0.279 0.78 0.282 0.79 0.285 O.50 0.288 081 0.291 0.82 0.294 0.83 0.297 0.469 1.86 1.87 2.42 243 2.44 0.469 0.492 1.88 0.470 1.89 0.471 0.493 0.499 2.45 0.493 3.01 0.499 3.02 0.499 3.03 0.499 3.04 0.499 3.05 0499 3.06 0.499 0.21 0.087 0.23 0.09I 0.24 0.095 0.25 0.22 1.90 0.471 2.46 0.493 1.91 0.472 2.47 0.493 1.92 0.473 0.493 2.49 0.494 2.50 0.494 2.48 0.099 1.93 0.473 0.26 | 0.103 1.94 0.474 1.95 0.474 1.96 0.475 1.97 0.27 0.106 2.51 0.494 3.07 0.499 0.28 0.110 0.84 0.300 2.52 0.494 3.08 0.499 0.85 0.302 0.86 0.30s 0.87 0.308s 0.88 0.311 0.89 0.313 0.90 | 0.316 0.91 0.29 0114 0.476 2.53 0.494 3.09 0.499 0.30 0.118 0.122 1.98 0.476 2.54 0.494 3.10 0.499 1.99 0.477 2.00 0.477 0.478 3.110.499 3.12 0.499 3.13 0.499 0.31 2.55 0.495 0.32 0.126 2.56 0.495 0.33 0.129 201 2.57 0.495 0.34 0.133 0.35 0.137 2.02 0.478 2.58 0.495 3.14 0.499 0.319 2.03 0.479 2.59 0.495 3.15 0.499 0.36 | 0.141 0.92 |0.321 2.04 0.479 2.60 0.495 3.16 0.499 3.17 0.499 0.93 0.324 0.94 0.326 2.05 0.480 2.61 0.495 0.37 0.144 0.38 0.148 2.06 0.480 2.62 0.496 3.18 0.499 0.496 3.19 0499 3.20 |0499 0.496 3.210.499 3.22 0.499 0.496 3.23 0.499 0.496 3.24 0499 3.25 0.499 3.26 | 0.499 3.27 0.499 3.28 0.499 207 0.481 0.95 0.329 0.96 0.331 0.39 0.152 2.63 0.40 0.155 2.08 0.481 2.64 0.496 0.41 0.159 0.97 0.334 2.09 0.482 2.65 0.163 0.43 0.166 0.42 0.98 0.336 2.10 0.482 2.66 0.496 0.99 0.339 1.00 0.341 2.11 0.483 2.67 0.44 0.170 2.12 0.483 2.68 0.45 0.174 0.344 0.496 2.13 2.14 0.483 2.69 0.46 0.177 1.02 0.346 2.70 0.497 0.484 2.15 0.484 0.485 0.47 0.181 1.03 0.348 2.71 0.497 0.48 0.184 1.04 0.351 2.16 2.72 0.497 0.499 0.500 0.49 0.188 1.05 0.353 1.61 2.17 0.485 2.73 0.497 3.29 1.06 0.355 107 0.358 1.08 0.360 1.09 0.362 L.10 0.364 LII 0.367 0.50 0.191 2.18 0.485 2.74 0.497 3.30 0.51 0.195 2.19 0.486 2.75 0.497 3.31 0.500 332 0.500 0.52 | 0.198 0.53 0.202 2.20 0.486 2.76 0.497 0.486 2.22 0.487 2.23 0.487 1.65 0.451 221 2.77 | 0.497 333 0.500 0.54 0.205 0.55 0.209 1.66 0.452 1.67 0.453 2.78 0.497 2.79 0.497
Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 522 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?
Transcribed Image Text:Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 522 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS