Question

Professor Jackson is in charge of a program to prepare people for a high school equivalency...

Professor Jackson is in charge of a program to prepare people for a high school equivalency exam. Records show that 80% of the students need work in math, 70% need work in English, and 55% need work in both areas.

a) Are the events “needs math” and “needs English” mutually exclusive? Explain

b) Compute the probability that a student selected at random needs math or needs English.

Math   Statistics-And-Probability   
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Answer #1

Let A be the event that students need work in math

B be the event that students need work in English

Then

The probability that student need work in both areas

a) Two events are mutually exclusive if they cannot happen together. That is

Hence these events “needs math” and “needs English” are not mutually exclusive because the probability that student need work in both areas is not 0 but 0.55

b) the probability that a student selected at random needs math or needs English is

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