Yummy Crunch makes trail mix consisting of pecans and walnuts, where 40% of the nuts in each bag are walnuts and the remainder are pecans. From a bag of 30 nuts, 12 nuts are selected without replacement. Let X represent the number of walnuts selected. For this question you may give numerical answers to 4_significant digit_s (while keeping as many decimal places as possible for intermediate steps) or you may also use Maple commands (e.g. binomiall10,3) ). You can enter scientific notation as 5.32e-3 for 0.00532 multiplication, division and powers (e.g. (3/15)*0.8"5 ). a) Calculate P(X= 2). l: a b) What is the probability that the selection of 12 nuts contains an equal number 01 pecans and walnuts? S a 0) Calculate P(X = 2) it the nuts were selected with replacement. l:na