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{"ops":[{"insert":"Question 1.1 [2, 2, 2, 2, 2]"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"A local farmer plants a given number carrots on a certain number of days. We are looking at the "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"number of carrots the farmer can plant over two days. Suppose that the famers must plant at least "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"4 carrots on the first day, no more than 9 carrots on the second day and farmer has to plant more "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"carrots on the second day than the first day. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"a) Determine the sample space of the experiment. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"b) If each of the outcomes in (a) have equal probability of occurring find the probability of the "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"following events:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"i. Event that there were 13 carrots in total planted over the two days. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"ii. Event that an odd number of carrots were planted on the second day."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"c) Are the events (i) and (ii) mutually exclusive? Motivate your answer! "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"d) Are the events (i) and (ii) statistically independent? Motivate your answer! "},{"insert":"\n"}]}

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