Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤x≤70)? OA. ^ 5053 70 Q P(53≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z .00 .01 .07 08 09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010 0.0018 0.0018 0.0019 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0032 0.0031 0.0030 0.0025 0.0029 0.0008 0.0027 00026 0.0043 0.0041 0.0040 0.0039 0.0039 0.0038 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.0060 0.0059 0.0057 0.0037 0.0036 -3.1 -3.0 Standard Normal Distribution 003 04 .05 -29 -28 -27 -26 -25 X 50 53 70
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤x≤70)? OA. ^ 5053 70 Q P(53≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z .00 .01 .07 08 09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010 0.0018 0.0018 0.0019 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0032 0.0031 0.0030 0.0025 0.0029 0.0008 0.0027 00026 0.0043 0.0041 0.0040 0.0039 0.0039 0.0038 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.0060 0.0059 0.0057 0.0037 0.0036 -3.1 -3.0 Standard Normal Distribution 003 04 .05 -29 -28 -27 -26 -25 X 50 53 70
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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Transcribed Image Text:Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.
P(53≤x≤70)
Click the icon to view a table of areas under the normal curve.
Which of the following normal curves corresponds to P(53≤X≤70)?
O A.
50 53
70
Q
Q
P(53 ≤x≤70) = (Round to four decimal places as needed.)
Tables of Areas under the Normal Curve
Area
TABLE V
z
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084
0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143
0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294
-1.7 0.0446 0.0436 0.0427
0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455
-1.5
0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869
0.0853 0.0838 0.0823
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
-1.0
0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148
0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451
0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
-0.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Standard Normal Distribution
.02 .03 .04 .05 .06 .07 .08 .09
.00
.01
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
0.0010 0.0009 0.0009 0.0009
0.0013 0.0013 0.0013 0.0012
0.0019 0.0018 0.0018 0.0017
0.0026 0.0025 0.0024 0.0023
0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0016
0.0015
0.0016 0.0015
0.0014 0.0014
0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048
1.0
1.1
1.2
0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
0.4602 0.4562 0.4522 0.4483
0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0.5199 0.5239 0.5279 0.5319 0.5359
0.5000 0.5040 0.5080 0.5120 0.5160
0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753
0.5793 0.5832 0.5871 0.5910 0.5948
0.6179 0.6217 0.6255
0.6293 0.6331
0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772
0.5987 0.6026 0.6064 0.6103 0.6141
0.6368 0.6406 0.6443 0.6480 0.6517
0.6808 0.6844 0.6879
0.7157 0.7190 0.7224
0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123
0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.7881 0.7910 0.7939 0,7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
0.8413 0.8438
0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.3
0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
0.9463 0.9474
1.5 0.9332 0.9345 0.9357
1.6 0.9452
0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
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