in 2004 57.2% of all enrolled college students were female. choose one enrolled college student at random. what is the empirical probability that the student was male

Respuesta :

42.8/100 i think? sorry if it’s wrong

The empirical probability that the student was male will be 42.8%

Empirical probability

  • Empirical probability uses the number of occurrences of a given outcome within a sample set as a basis for determining the probability of that outcome occurring again
  • The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

How to solve this problem?

The steps are as follow:

  • Given P(female) = 57.2% = 0.572
  • We have to find empirical probability that the student was male
  • The formula to find empirical probability is as follow:

P(female)= 57.2% = 0.572

P(male) = 1 - P(female) = 0.428 = 42.8%

P(male) = 1 - 0.572

P(male) = 0.428

P(male) = 42.8%

So, the empirical probability that the student was male will be 42.8%

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