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The heights of students are approximately normally distributed with a mean of 162 centimeters and a standard deviation of 12 centimeters. Suppose random samples of size 44 are drawn from this population and the sample means recorded to the nearest tenth of a centimeter. Probabilities for the standard sormal distribution Table mye proto 2 04 00 0.50 0.50 O SORO 05120 308 SW 032 0329 0.5309 0.1959 01 0.579 OSEM 0547805517 05557 586 6.5676 6.5675 05754 0.5751 03 05799 SRO OKT OSS 6598 606 66040510 0.6141 03 001 00217 0:6215 633 668 2060-6443 05480 03 OSLO 060 0.6726 OTTO OO OST 05 0950 590 67123 07159 07190 07234 06 0.7289 0.72 67334 07357 0.7284 600+ 0.754 0.7 0.750 0.750 0.23 0.7704.7794 774 770 01 0.75 OXO 10 099 0767 OGRES NOSI 001 03306 0.8333 090159 ORIR 2 0216 OM OSS GO ON 10 SED ON OH OBIS OSORIOS ONS? 990 LI 543 5 6 2007 OTTO ONDO 12. OO O OO OOO OO O 0.9019 130.0002 0.000 0.9012 O. 091159 09347 0915 09177 14 0.00 0.00 0212 6 09255 95 209 29 6 0:01 13 0982 945 09389 070 0929999 IS ON OHL 160.9462 0.06 0.9474 09184.90 6.9505 955 0938 0935 09545 19 954 56 95 3 050 000 16 025 0 109641 969 0986066 0109678 0 0 0 0 1.9 0.71 0.79 6 2 098 1.9950 756 0.3362 20 N 978) ON NOOIT 21.921 09336 03 04 03 04 05 22 66 986 0 0:1 09 668 0988 0:39 2396 90 60 90 0936 240.9918 0.99200 99120929 09901 999 991 6.990 40.9936 23.38 0.900 OWN : 0 26 09953 6.995509956 0999.00 27 996 97 WS. 23 0.9% 0.375 076 0977 9978 079 00:25 29 2 93 94 95 96 30097 0.997 0.997 0988 0.999 999 0:00:9990 20970 692 091 09 99999999999 12.999 999 999 40 3 . . . . 0.00 0.00 0.0 Determine the probability that the sample mean() is falling below 164.01 centimeters. answer should be a number rounded to five decimal places, don't use symbols such as % [The + 18