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The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. P(X = X) | 2/14 0.1 Complete parts (a) through (c) below. 3 4 5 0.4 0.3 0.2 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) 6² = 0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μx and the variance σ of the mean X for random samples of 49 cherry puffs. 収 (Type an integer or a decimal. Do not round.)

The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. P(X = X) | 2/14 0.1 Complete parts (a) through (c) below. 3 4 5 0.4 0.3 0.2 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) 6² = 0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μx and the variance σ of the mean X for random samples of 49 cherry puffs. 収 (Type an integer or a decimal. Do not round.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with part b please

The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) ²= 0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μ and the variance σ of the mean X for random samples of 49 cherry puffs. Hx = (Type an integer or a decimal. Do not round.)
Transcribed Image Text:The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) ²= 0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μ and the variance σ of the mean X for random samples of 49 cherry puffs. Hx = (Type an integer or a decimal. Do not round.)
Areas under the Normal Curve -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 Z .00 .01 .02 .03 .04 .05 .06 .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 -3.4 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 Areas under the Normal Curve z .03 .04 0.0 0.0005 -3.2 0.1 -2.5 0.0062 0.0060 0.0059 0.0057 -2.4 0.0082 0.0080 0.0078 0.0075 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0.0162 0.0207 Z .00 .01 .02 0.0007 -3.1 0.0010 -3.0 0.0014 0.0014 -2.9 0.0020 0.0019 -2.8 0.0027 0.0026 -2.7 0.0037 0.0036 -2.6 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2 0.0154 0.0150 0.0146 0.0143 -2.1 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0 .03 .04 .05 .06 .07 .08 .09 0.2 0.0158 0.0202 ¡A 2 V --‹ ›0 € 2.9 3.3 3.4 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Transcribed Image Text:Areas under the Normal Curve -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 Z .00 .01 .02 .03 .04 .05 .06 .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 -3.4 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 Areas under the Normal Curve z .03 .04 0.0 0.0005 -3.2 0.1 -2.5 0.0062 0.0060 0.0059 0.0057 -2.4 0.0082 0.0080 0.0078 0.0075 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0.0162 0.0207 Z .00 .01 .02 0.0007 -3.1 0.0010 -3.0 0.0014 0.0014 -2.9 0.0020 0.0019 -2.8 0.0027 0.0026 -2.7 0.0037 0.0036 -2.6 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2 0.0154 0.0150 0.0146 0.0143 -2.1 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 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