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statistics - probabilities

Read the scenario attached.

The data given:

Suppose 200 men and 200 women participate in a study and 280 report they prefer plain water. Of the participants preferring a sports drink, 80 were men and 40 were women.

Find the various probabilities under a - f (omit g) below.

a. What is the probability that a person prefers water?
b. What is the probability that a person prefers the sports drinks?
c. Probability of being male given they prefer a sports drink:
Probability of being a female given they prefer a sports drink:
d. Probability of both male and preferring sports drink:
Probability of both female and preferring sports drink:
e. Given that the consumer is a man, what is the probability he prefers sports drinks?
f. Given that the consumer is a woman, what is the probability she prefers sports drinks?

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Solution Preview

The data given:

Suppose 200 men and 200 women participate in a study and 280 report they prefer plain water. Of the participants preferring a sports drink, 80 were men and 40 were women.

Find the various probabilities under a - g below.

Probability is another word for "chance". What are the "chances" that something will occur? Hint: valid probabilities are always from zero to one.

Basic probability ...

Solution Summary

Response uses probabilities tables (not statistics formulas) so that you can get the idea and not get bogged down in mega-computations.

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