ke. Complete parts (a) through (c) belaw. a. If 1 male colege student in randoenly selected, find the probabeby that he gains betweon 0kg and 3kg aining freshman yeae. The probability is (Round to four decimal places as needed) b. If 16 male. college students are randembly selecied, find the probability that their mean woight gah during freshman year is between 0kg and 3kg The probability is (Round to four decinal placas as needec.) c. Why can the nomal dintribution be uoed in pan (b), even though the sample size doen not axcaed 30 ? A. Since the distribution is of individuala not sarpile means, the distribution is a noemal dstribidon for any sample slze 8. Since the weight gain excesds 30 , the diatribution of 6ample meane is a normal dsa plifor for ary sample slee C. Shce the disulbutan is of sample meanns not individuah: the distribution is a nornal cla bibution for any sample slae 0. Since the oiginal popu fatlon has a normal eistribution, thi distrbution of sample means s a nongal distribution lor any sample size.