Starting at a particular time, each car entering an intersection is observed to see whether it turns left (L) or right (R) or goes straight ahead (S). The experiment terminates as soon as a car is observed to go straight. Suppose that the random variable y denotes the number of cars observed. (a) What are possible y-values? all integers all real numbers greater than 1 all whole numbers greater than 1 all positive whole numbers all positive real numbers (b) List five different outcomes and their associated y-values. Outcome Value of y LLRLLS 2 X RRLLS 2 X S 3 X RLS 3 RRRS 4Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: X 1 2 3 5 6 P(x) 02 03 07 26 .40 .14 08 (a) What is P(x = 4)? P(x = 4) = 0.26 (b) What is P(x $ 4)? P(x S 4) = 0.38 0.38 (c) What is the probability that the selected student is taking at most five courses? P(at most 5 courses) = 0.78 0.78 (d) What is the probability that the selected student is taking at least five courses? more than five courses? P(at least 5 courses) = 0.62 0.62 P(more than 5 courses) = 0.22 0.22 (e) Calculate P(3 s x s 6) and P(3