A group of 60 college students were asked about the subjects they are taking at college
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A group of 60 college students were asked about the subjects they are taking at college

6. A group of 60 college students were asked about the subjects they are taking at college. The following data indicate their choice of Business (B) and / or Mathematics (M).

20 chose Business (B)         35 chose Mathematics (M)         8 chose both

How many students studied only:

a. Business

b. Mathematics

c. Neither Business nor Mathematics

What is the probability that a student chosen at random is:

d. Taking Business?

Hermina is one of these students and it is known that she is taking Business at college.

e. What is the probability that she is also taking Mathematics?

f. Are the two events, B and M, statistically independent? Explain.

Hint
StatisticsProbability refers to the likelihood of the occurrence of an event which is usually measured from 0 to 1. A probability of 1 shows the certainty of the occurrence of the event and 0 shows there is no probability. There are different types of probability such as classical, relative, and subjective probability. ...

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