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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 4 ml. Answer the following questions based on this information. What proportion of the paint cans contain between 4.80 ml and 5.40 ml of the dye?

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 4 ml. Answer the following questions based on this information. What proportion of the paint cans contain between 4.80 ml and 5.40 ml of the dye?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 4 ml. Answer the following questions based on this information. What proportion of the paint cans contain between 4.80 ml and 5.40 ml of the dye? Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0359 .0753 1141 .1517 .0040 .0438 .0199 0596 .0279 .0675 .1064 1443 .1808 .2157 .0319 0714 .0080 .0120 .0160 .0239 .0 .1 .0000 .0398 .0478 .0517 0910 1293 .1664 .2019 .0557 0948 1331 0636 .2 0987 .1026 .1103 .0793 .1179 .0832 .1217 .0871 1255 .1368 .1736 .1480 .1844 2190 3 .1406 .1554 .1915 .1628 .1700 .1772 .1879 2224 .4 1591 .1950 .5 .1985 .2054 .2088 2123 .2454 .2764 .2549 2852 3133 3389 3621 .2486 .2794 .2517 .2823 .6 2257 2291 2611 2910 3186 2324 2357 .2673 2967 .2389 .2704 2995 .3264 .3508 .2422 2734 3023 3289 .7 .8 2580 .2881 3159 3413. .2642 2939 .3212 3461 3051 3315 3078 3340 3577 .3106 3238 3485 .3365 3599 .9 1.0 3438 3531 3554 3665 3869 .3729 3925 .4099 .4251 .4382 3749 3708 3907 4082 4236 4370 3770 .3962 4131 4279 4406 3790 .3980 4147 .4292 .3810 .3997 4162 4306 .4429 3830 1.1 1.2 1.3 .3643 3849 .3686 3888 4066 4222 4015 4032 4192 4332 3944 4115 .4265 .4394 4177 4319 4441 4049 4207 1.4 1.5 4345 4357 .4418 .4474 4573 4656 4726 4783 4505 4599 .4515 4608 .4686 .4750 .4525 4616 4693 .4756 4808 1.6 4535 .4545 4452 4554 .4463 4484 4582 4664 .4732 4788 .4495 .4591 .4671 .4738 1.7 4564 .4649 4719 4778 .4625 4699 4633 4706 4767 1.8 .4641 4713 4772 4678 4744 1.9 4761 4812 2.0 4793 .4798 4803 4817 .4821 4861 4893 .4826 4864 4896 4920 .4838 4875 .4904 .4927 4945 4834 4871 .4850 4884 4854 .4887 4913 .4934 .4951 4857 4890 2.1 4830 .4842 4846 .4881 4909 .4931 4948 .4868 .4898 .4878 .4906 4929 4946 2.2 4901 .4925 4943 .4916 4936 4952 2.3 2.4 2.5 4911 .4932 .4949 4918 4922 4938 4940 4941 4955 4966 4975 4982 4956 4967 4976 4982 4987 4957 4968 .4977 4983 4988 4961 4971 .4979 4985 4989 .4962 .4972 4979 4959 4960 4970 4978 .4984 4989 .4963 4964 .4974 .4981 4986 2.6 4953 4965 .4974 4981 2.7 4969 4973 .4977 .4984 4980 2.8 2.9 3.0 .4985 4989 4986 4987 .4987 4988 4990 4990 Source: Abridged from Table I of A. Hald, Statistical Tables and Formulas (New York: Wiley), 1952. Reproduced by permission of A. Hald. O 4758 O 5328 O 1915 O 3413 O.1498
Transcribed Image Text:A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 4 ml. Answer the following questions based on this information. What proportion of the paint cans contain between 4.80 ml and 5.40 ml of the dye? Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0359 .0753 1141 .1517 .0040 .0438 .0199 0596 .0279 .0675 .1064 1443 .1808 .2157 .0319 0714 .0080 .0120 .0160 .0239 .0 .1 .0000 .0398 .0478 .0517 0910 1293 .1664 .2019 .0557 0948 1331 0636 .2 0987 .1026 .1103 .0793 .1179 .0832 .1217 .0871 1255 .1368 .1736 .1480 .1844 2190 3 .1406 .1554 .1915 .1628 .1700 .1772 .1879 2224 .4 1591 .1950 .5 .1985 .2054 .2088 2123 .2454 .2764 .2549 2852 3133 3389 3621 .2486 .2794 .2517 .2823 .6 2257 2291 2611 2910 3186 2324 2357 .2673 2967 .2389 .2704 2995 .3264 .3508 .2422 2734 3023 3289 .7 .8 2580 .2881 3159 3413. .2642 2939 .3212 3461 3051 3315 3078 3340 3577 .3106 3238 3485 .3365 3599 .9 1.0 3438 3531 3554 3665 3869 .3729 3925 .4099 .4251 .4382 3749 3708 3907 4082 4236 4370 3770 .3962 4131 4279 4406 3790 .3980 4147 .4292 .3810 .3997 4162 4306 .4429 3830 1.1 1.2 1.3 .3643 3849 .3686 3888 4066 4222 4015 4032 4192 4332 3944 4115 .4265 .4394 4177 4319 4441 4049 4207 1.4 1.5 4345 4357 .4418 .4474 4573 4656 4726 4783 4505 4599 .4515 4608 .4686 .4750 .4525 4616 4693 .4756 4808 1.6 4535 .4545 4452 4554 .4463 4484 4582 4664 .4732 4788 .4495 .4591 .4671 .4738 1.7 4564 .4649 4719 4778 .4625 4699 4633 4706 4767 1.8 .4641 4713 4772 4678 4744 1.9 4761 4812 2.0 4793 .4798 4803 4817 .4821 4861 4893 .4826 4864 4896 4920 .4838 4875 .4904 .4927 4945 4834 4871 .4850 4884 4854 .4887 4913 .4934 .4951 4857 4890 2.1 4830 .4842 4846 .4881 4909 .4931 4948 .4868 .4898 .4878 .4906 4929 4946 2.2 4901 .4925 4943 .4916 4936 4952 2.3 2.4 2.5 4911 .4932 .4949 4918 4922 4938 4940 4941 4955 4966 4975 4982 4956 4967 4976 4982 4987 4957 4968 .4977 4983 4988 4961 4971 .4979 4985 4989 .4962 .4972 4979 4959 4960 4970 4978 .4984 4989 .4963 4964 .4974 .4981 4986 2.6 4953 4965 .4974 4981 2.7 4969 4973 .4977 .4984 4980 2.8 2.9 3.0 .4985 4989 4986 4987 .4987 4988 4990 4990 Source: Abridged from Table I of A. Hald, Statistical Tables and Formulas (New York: Wiley), 1952. Reproduced by permission of A. Hald. O 4758 O 5328 O 1915 O 3413 O.1498
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