Answer to Question #346993 in Statistics and Probability for Nzuzi

Question

Question 1.1 [2, 2, 2, 2, 2]

A local farmer plants a given number carrots on a certain number of days. We are looking at the

number of carrots the farmer can plant over two days. Suppose that the famers must plant at least

4 carrots on the first day, no more than 9 carrots on the second day and farmer has to plant more

carrots on the second day than the first day.

a) Determine the sample space of the experiment.

b) If each of the outcomes in (a) have equal probability of occurring find the probability of the

following events:

i. Event that there were 13 carrots in total planted over the two days.

ii. Event that an odd number of carrots were planted on the second day.

c) Are the events (i) and (ii) mutually exclusive? Motivate your answer!

d) Are the events (i) and (ii) statistically independent? Motivate your answer!

Answer 1

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