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There are 126 students in a large class. Of them, 42 are female and 30 are STEM majors (total). Of the 42 female students, 10

There are 126 students in a large class. Of them, 42 are female and 30 are STEM majors (total). Of the 42 female students, 10 are STEM majors.

Suppose one student is randomly selected.

Calculate the following probabilities and determine if 'Female' and 'STEM major' are independent or dependent events. Also determine if the events 'Female' and 'STEM major' are mutually exclusive or mutually non-exclusive.

Round solutions to three decimal places, if necessary.

P

(

P(

female)

=

)=

Correct

P

(

P(

female | STEM major)

=

)=

Incorrect

Therefore, the events 'Female' and 'STEM major' areSelect an answer

Independent

Dependent

Correct

The events 'Female' and 'STEM major' are

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