The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon (a) What proportion of hybrids gets over 62 miles per gallon? (b) What proportion of hybrids gets 53 miles per gallon or less? (c) What proportion of hybrids gets between 57 and 61 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon? Click the icon to view a table of areas under the normal curve (a) The proportion of hybrids that gets over 62 miles per gallon is (Round to four decimal places as needed) CHE R

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Solve A) to D)

Tables of Areas under the Normal Curve
0
Area
TABLE V
3.3
733 77777 9337 32233 99
.00
01
81000
Standard Normal Distribution
.02 .03 .04
.05
DSC00
.06
.08
.07
0.0002
0.0003
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004
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 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0019
0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014
0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037
0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049
0.0032
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 08146 0.0143
00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188
0.0287 0.0281
0.0359 00351
0.0446 0.0436
0.0548 0.0537
0.0668 0.0655
0.0808 0.0793
0.0968 0.0951
0.1151 0.1131
0.1357 0.1335
0.1587 0.1562
0.1841 0.1814
0.2119 0.2090
0.0183
.09
0.0014
0.0019
0.0026
0.0036
0.0048
0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239
0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301
0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375
0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465
0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571
0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190
0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401
0.1788 0.1762 0.1756 0.1711
0.2061 02033 10.2005 0.1977
0.1170
0.1379
0.0233
0.0294
0.0367
0.0455
0.0559
0.1685 0.1660 0.1635 0.1611
0.1949 0.1922 0.1894 0.1867
Transcribed Image Text:Tables of Areas under the Normal Curve 0 Area TABLE V 3.3 733 77777 9337 32233 99 .00 01 81000 Standard Normal Distribution .02 .03 .04 .05 DSC00 .06 .08 .07 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 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 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0032 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 08146 0.0143 00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0287 0.0281 0.0359 00351 0.0446 0.0436 0.0548 0.0537 0.0668 0.0655 0.0808 0.0793 0.0968 0.0951 0.1151 0.1131 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0.2090 0.0183 .09 0.0014 0.0019 0.0026 0.0036 0.0048 0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1788 0.1762 0.1756 0.1711 0.2061 02033 10.2005 0.1977 0.1170 0.1379 0.0233 0.0294 0.0367 0.0455 0.0559 0.1685 0.1660 0.1635 0.1611 0.1949 0.1922 0.1894 0.1867
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. (a) What
proportion of hybrids gets over 62 miles per gallon? (b) What proportion of hybrids gets 53 miles per gallon or less? (c) What proportion of hybrids gets between 57 and 61 miles per gallon? (d) What is
the probability that a randomly selected hybrid gets less than 46 miles per gallon?
Click the icon to view a table of areas under the normal curve.
(a) The proportion of hybrids that gets over 62 miles per gallon is
(Round to four decimal places as needed.)
277
h
Transcribed Image Text:The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. (a) What proportion of hybrids gets over 62 miles per gallon? (b) What proportion of hybrids gets 53 miles per gallon or less? (c) What proportion of hybrids gets between 57 and 61 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon? Click the icon to view a table of areas under the normal curve. (a) The proportion of hybrids that gets over 62 miles per gallon is (Round to four decimal places as needed.) 277 h
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