Homework Help is Here – Start Your Trial Now!
Math
Statistics
For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation a an indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. Find the probability that an observation is at least 1 standard deviation above the mean. The probability is (Round to three decimal places as needed.)

For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation a an indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. Find the probability that an observation is at least 1 standard deviation above the mean. The probability is (Round to three decimal places as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 15E: Describe the standard normal distribution. What are its characteristics?
See similar textbooks
icon
Related questions
Question

3

For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation and indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. Find the probability that an observation is at least 1 standard deviation above the mean. The probability is (Round to three decimal places as needed.) ...
Transcribed Image Text:For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation and indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. Find the probability that an observation is at least 1 standard deviation above the mean. The probability is (Round to three decimal places as needed.) ...
ndard normal table (Page 1) Z -5.0 -4.5 -4.0 -3.5 .00 000000287 .00000340 .0000317 .000233 Cumulative probability Z .01 .04 .07 .08 0003 .0003 0003 0002 -3.4 -3.3 -3.2 .05 .06 .0003 0003 0003 0003 0004 0004 .0004 0006 0006 0006 0006 0005 0003 .0004 0005 000S 0004 0004 0003 0005 0006 0009 .0009 .0003 0007 0007 .0005 .000$ -3.1 0010 0009 .0008 .0008 0008 0008 .0007 0007 0013 0013 0012 0012 0011 0011 .0010 0010 -3.0 .0013 -29 .0019 0018 .0018 .0017 0011 0015 0016 0016 0014 0014 0015 .0021 -28 0026 0024 0023 0020 0019 0025 0034 -2.7 0035 0033 0032 0026 -26 0047 0045 0036 -25 0062 0048 0023 0022 0021 0031 00:30 .0029 0028 .0027 0044 0043 0041 .0040 .0039 .0038 0037 0060 .0059 .0057 0055 .0054 .0052 0051 .0049 -24 0080 .0078 0075 0073 .0071 .0069 .0068 0066 -2.3 0107 0104 0102 .0099 .0096 0094 .0091 0089 -22 0139 0136 0132 0129 0125 0122 0119 .0116 .0113 -2.1 0174 0170 .0166 0162 .0158 0154 0150 0082 .0064 .0087 0084 0110 0179 0146 0143 .00 .02 Cumulative probability for z is the area under the standard normal curve to the left of z .03 .09 Standard normal table (Page 2) Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 08 09 1.0 1.1 1.2 Cumulative probability Cumulative probability for z is the area under the standard normal curve to the left of z 00 .02 03 ..01 5040 5000 5398 5438 04 .05 5080 $120 5160 $199 5478 5517 5557 5596 5793 5832 5871 5910 5948 5987 6217 .6255 6293 .6331 6591 6628 .6664 .6700 .6950 6985 .7019 .7054 7324 7357 .7389 .7580 .7611 .7642 7673 7704 6179 6554 .6915 .7257 .7291 7881 .7910 7939 .7967 .8159 8186 8413 .8438 .8212 8238 .8461 .8485 8686 7995 8264 .8508 .8729 .8925 .8643 .8665 .8708 .8849 8869 .8888 .8907 .09 5359 5753 6141 6517 .6879 7224 ..06 .07 08 5239 5279 5319 5636 5675 5714 6026 6064 6103 .6368 .6406 6443 6480 6736 6772 .6808 .6844 .7088 .7123 .7157 .7190 7422 7454 7486 7734 .7764 7794 8023 8051 .8078 8106 8289 .8315 8340 .8365 8531 8554 8577 8599 8621 .8749 8770 8790 8810 8830 8944 8962 8980 8997 9015 .7517 .7549 7823 7852 8133 .8389
Transcribed Image Text:ndard normal table (Page 1) Z -5.0 -4.5 -4.0 -3.5 .00 000000287 .00000340 .0000317 .000233 Cumulative probability Z .01 .04 .07 .08 0003 .0003 0003 0002 -3.4 -3.3 -3.2 .05 .06 .0003 0003 0003 0003 0004 0004 .0004 0006 0006 0006 0006 0005 0003 .0004 0005 000S 0004 0004 0003 0005 0006 0009 .0009 .0003 0007 0007 .0005 .000$ -3.1 0010 0009 .0008 .0008 0008 0008 .0007 0007 0013 0013 0012 0012 0011 0011 .0010 0010 -3.0 .0013 -29 .0019 0018 .0018 .0017 0011 0015 0016 0016 0014 0014 0015 .0021 -28 0026 0024 0023 0020 0019 0025 0034 -2.7 0035 0033 0032 0026 -26 0047 0045 0036 -25 0062 0048 0023 0022 0021 0031 00:30 .0029 0028 .0027 0044 0043 0041 .0040 .0039 .0038 0037 0060 .0059 .0057 0055 .0054 .0052 0051 .0049 -24 0080 .0078 0075 0073 .0071 .0069 .0068 0066 -2.3 0107 0104 0102 .0099 .0096 0094 .0091 0089 -22 0139 0136 0132 0129 0125 0122 0119 .0116 .0113 -2.1 0174 0170 .0166 0162 .0158 0154 0150 0082 .0064 .0087 0084 0110 0179 0146 0143 .00 .02 Cumulative probability for z is the area under the standard normal curve to the left of z .03 .09 Standard normal table (Page 2) Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 08 09 1.0 1.1 1.2 Cumulative probability Cumulative probability for z is the area under the standard normal curve to the left of z 00 .02 03 ..01 5040 5000 5398 5438 04 .05 5080 $120 5160 $199 5478 5517 5557 5596 5793 5832 5871 5910 5948 5987 6217 .6255 6293 .6331 6591 6628 .6664 .6700 .6950 6985 .7019 .7054 7324 7357 .7389 .7580 .7611 .7642 7673 7704 6179 6554 .6915 .7257 .7291 7881 .7910 7939 .7967 .8159 8186 8413 .8438 .8212 8238 .8461 .8485 8686 7995 8264 .8508 .8729 .8925 .8643 .8665 .8708 .8849 8869 .8888 .8907 .09 5359 5753 6141 6517 .6879 7224 ..06 .07 08 5239 5279 5319 5636 5675 5714 6026 6064 6103 .6368 .6406 6443 6480 6736 6772 .6808 .6844 .7088 .7123 .7157 .7190 7422 7454 7486 7734 .7764 7794 8023 8051 .8078 8106 8289 .8315 8340 .8365 8531 8554 8577 8599 8621 .8749 8770 8790 8810 8830 8944 8962 8980 8997 9015 .7517 .7549 7823 7852 8133 .8389
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS