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Probability of Occurrence of Gender

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I. At a certain college 10% of the students are majoring in mathematics, 70% of the student body are female, and 4% of the students are female mathematics majors. Suppose a student is selected by chance. Find the probability that the student is majoring in math given that the student is a female.

j. Two events. A, B are called _________________________if the occurrence of one has no affect on the probability of the occurrence of the other.

k. Suppose that A, B are events in some sample space. Complete the formula:
P(A and B)=__________________________________________________________

l. Suppose that events A, B are mutually exclusive. Complete the formula with a number:
P(A and B)=_________________________________________________________

m. True or False: For any event A, B, P(A and B) is never larger than P(A)._____________

n. Suppose that events A, B, are independent. Complete the formula:

P(A and B)=___________________________________________________________

o. True or False: If events A, B are independent then P(A|B)=P(A)._________________

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Solution Summary

The probability occurrence of genders majoring in mathematics is examined. The probability a female majoring in math will be randomly selected.

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Probability of Occurrence--Questions--7ea Need Explanations.
q4 Please answer and explain how you arrived at your conclusion. I need to learn how to answer these types of questions. If you use megastats please example how.

i. At a certain college 10% of the students are majoring in mathematics, 70% of the student body are female, and 4% of the students are female mathematics majors. Suppose a student is selected by chance. Find the probability that the student is majoring in math given that the student is a female.

j. Two events. A, B are called _________________________if the occurrence of one has no affect on the probability of the occurrence of the other.

k. Suppose that A, B are events in some sample space. Complete the formula:
P(A and B)=__________________________________________________________ ...

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