C. Determine the values of the random variables in each of the following distributions. 1. Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H. 2. A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one after the other, determine the values of the random variable K representing the number of Koreans. Answer it like this: C. 1. Two coins are tossed. Let T be the number of tails that occur. Determine the values of the random variable T Answer: The values of the random variable T (number of tails) in the experiment are 0, 1. and 2. Solution: The sample space in tossing two coins is S = {HH, TH, HT, TT}. The 'Tail' can only occur 0, 1, or 2 times in each outcome as shown below. Number of Tails Value of T _ 2. A meeting of envoys was attended by 4 Koreans and 2 Filipinos, if three envoys were selected at random one after the other, determine the values of the random variable F representing the number of Filipinos. Answer: The values of the random variable F (number of Filipinos) in the experiment are 0, 1, and 2. Solution: The sample space when three envoys are selected is S = {FFK, FKF, KFF, KKF. KFK, FKK, KKK}. A Filipino can be selected 0, 1. or 2 times in each outcome as shown below. [mmm - _ \"BI _ \"- \