1. The population. Consider tossing 4 coins (HHHH, HTTT, THTT, TTHT, TTTH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HHHT, HTHH, HHTH, THHH, TTTT) Let Y as the random variable of the number of HEADS when tossing 4 coins Y has a distribution with the number of trials n= and the probability of success p= a) Build a probability distribution table for Y. Find probabilities by formulas P(Y = k) = nckp" (1 - p)"-k OR you can use the TI function "binompdf (n, p, k)" y P(Y=y) b) Build a relative frequency histogram from the table above by considering the x-axis as numbers of heads and the y-axis as the probabilities. (may do it by hand or by excel or other tool) c) Identify the shape of the distribution: d) As you see from part b) and c), sometimes we can approximate a distribution with a distribution