Dean was searching through a list of movies on his streaming movie service and wanted to only look at movies that were rated 4 out of 5 stars or higher. There are a total of 200 movies listed. If 19 of these movies have ratings of 4 stars and 6 have ratings of 5 stars, what is the probability that Deon will randomly select a movie with at least a 4-star rating? What percent of data does the region shaded in blue represent in a normal distribution? Question 8 O Mark this question Given this z-table and the standard normal distribution shown in the graph, which z-score represents a value that is likely to occur? O 1.49 O 2.34 O 3.24 O -3.50Cecil is the manager at a shampoo factory. Recently he has suspected that shampoo bottles contain less shampoo than they should. Cecil began collecting sample bottles from the production line so that he could test them to see if they were underfilled. However, he needed to know if the amount of shampoo in each sample bottle was statistically likely or not. Cecil knows that the mean amount of shampoo in each bottle should be 9 ounces with a standard deviation of 0.5 ounces. Cecil picks up a bottle and determines that it has 7.5 ounces of shampoo. Using the following z-table, what is the probability that this bottle is likely to have less shampoo than the rest of the bottles? 901 0.04 0.06 0.07 0.08 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0 6003 6.0003 0.0603 6,0003 0.0003 0.0002 -3.3 0.0005 010005 0.0005 0.0004 0.0004 0.DO04 0.0004 0.0004 0.0004 0.0003 3.2 0.0007 0.0007 0 0006 010006 0.0006 0.0006 0.0006 6 0.0005 0.0005 0.0005 0.0010 0.0009 0 0009 0.0009 0.0008 0.DO08 0.0008 0.0008 0.0007 0.0007 00013 0.0013 00013 0/0012 06013 60011 0.0611 0,0011 0.0010 0,0010 2.9 0.0019 0.0018 00018 0.0017 0 0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0 0024 0/0023 0 0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 00035 0.0034 00033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0004 0.0043 0.0039 0.0038 -2.5 0.0062 0.0060 0 0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0090 10 00078 0.0075 0.0073 0.0071 0.OOG9 0.DO68 0.00G6 0.0064 -2.3 00107 0.0104 0 0103 070092 0.0096 0.8091 0.0080 0.0087 0.0084 -3.2 0.0189 0.0136 0 0182 2 0/0129 0 0125 0.0122 0.0119 Q0116 0.0113 0,0110 2.1 00179 0.0174 00170 0.0166 0 0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2 0 0228 0.0222 00217 0.0212 00207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 00287 0.0241 0 0234 0.0768 0 0262 0.0256 0.0250 0.0244 0.0239 0.0213 0.0359 0.0351 0 0344 0.0336 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 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 0.0485 0.0475 0.0465 0.0455 -1.5 00668 0.0645 00643 0.0630 0.0594 0.0582 0.0571 0.0559 1.4 0.0808 0.0793 0.0778 0.0754 0.0749 0.0735 0.0721 60708 0.0594 0.0681 00968 0/0951 0 0934 010918 0 0901 0.0869 0.0853 0.0838 0.0823 .1.2 01151 0.1131 01112 0.1093 0.1075 5 0.1056 0.1038 0.1020 0.1003 -1.1 01357 0.1835 01314 0.1292 0 0.1271 0.1251 0.1230 0.1210 0.1190 -1 0 1587 0.1562 0 1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 01841 0.1814 01788 0.1762 0.1736 0.1711 0.1685 5 0.1650 0.1635 0.1611 03119 03061 0.2013 0 2005 0.1977 0.1949 0.1923 0. 1867 -0.7 02420 0.2149 02358 0.2327 02296 02210 0.2236 0.2204 0.2177 -0.6 02743 0.2709 0.2676 0.2643 0 2611 0.2578 0.3546 6 0.2514 0.3483 0.2451 -0.5 03085 0.3050 03015 0.2981 0 2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 03406 0.3409 0 3372 0.836 03300 0.8261 0 3228 0.0192 0.8156 0.3121 -0.3 IZRED 0.3783 03745 30.3707 0 3609 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 04207 0,4168 04129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3879 0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0 500g 10.4960 04920 04830 04840 0,4801 04761 10.4721 04081 0.4641 O 0.13% O 99.87% O 2.28% O 38.216