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QUESTION IMAGE

the accompanying table shows the numbers of male and female students in…

Question

the accompanying table shows the numbers of male and female students in a certain region who received bachelors degrees in a certain field in a recent year. a student is selected at random. find the probability of each event listed in parts (a) through (c) below.

(a) the student is male or received a degree in the field
the probability is 0.502.
(type an integer or a decimal. round to three decimal places as needed.)

(b) the student is female or received a degree outside of the field
the probability is .
(type an integer or a decimal. round to three decimal places as needed.)

table:

degrees in fielddegrees outside of fieldtotal
females135,819887,2151,023,034
total308,7251,471,6491,780,374

Explanation:

Identify the given values and target event

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK0 $$

Apply the addition rule formula

Using the Addition Rule for Probability and Mutually Exclusive Events knowledge points

$$ LATEXBLOCK1 $$

Calculate the final probability

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK2 $$

Answer:

(b) The student is female or received a degree outside of the field

The probability is <blank>0.903</blank>.