There are 35 students in a class. One day, 24 students turned in their homework and 14 turned in their test corrections. Eight of these students turned in both homework and test corrections. Suppose we randomly select a student from the class.
(a) Complete a Venn diagram with H quals to even "turned in homework" and C equals event "turned in test corrections."
(b) using the Venn diagram, determine the probability that a student did not turn in homework or their test corrections.
(c) determine the probability that a student turned in homework given that they turned in test corrections.
(d) are the events mentioned above independent? are they mutually exclusive? explain.
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