Question

P(Employed)= 4,125,864. P(Unemployed)= 43,564. If I were to select a random person from the dataset, what...

P(Employed)= 4,125,864. P(Unemployed)= 43,564. If I were to select a random person from the dataset, what is the probability that person is either employed or unemployed?

Homework Answers

Answer #1

Consider

A : A person is employed.

B : Person is unemployed.

Number of employed person in data set = 4125864

Number of unemployed person in data set = 43564

Total number of person in data set = 4125864 + 43564 = 4169428

P(A) = P ( Employed) = 4125864 / 4169428

P(B) = P ( Unemployed) = 43564 / 4169428

P ( A randomly selected person is either employed or unemployed ) = P(A) + P(B)

=  P ( Employed) + P( Unemployed)

Since A and B are disjoint events.

= (4125864 / 4169428) + ( 43564 / 4169428)

=1.

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