The School of Economics and Finance was concerned about the educational background of some of the new students who joined in the 2019/20 academic year. The School decided to offer to a group of students to enrol on separate support classes in mathematics and statistics. Of these students, 40% signed up for the statistics classes and 50% for the mathematics classes. If a student signs up for the statistics class then there is 30% chance they will also sign up for the maths class. a) What is the probability that a randomly selected student signed up for both classes? b) What is the probability that a randomly selected student who signed up for the mathematics classes also signed up for the statistics classes? c) What is the probability that a randomly selected student signed up for at least one of these two classes? d) Are the events ‘sign up for the statistics classes’ and ‘sign up for the mathematics classes’ statistically independent?
The School of Economics and Finance was concerned about the educational background of some of the new students who joined in the 2019/20 academic year. The School decided to offer to a group of students to enrol on separate support classes in mathematics and statistics. Of these students, 40% signed up for the statistics classes and 50% for the mathematics classes. If a student signs up for the statistics class then there is 30% chance they will also sign up for the maths class.
a) What is the
b) What is the probability that a randomly selected student who signed up for the mathematics classes also signed up for the statistics classes?
c) What is the probability that a randomly selected student signed up for at least one of these two classes?
d) Are the
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