Question

Of the 16,071 degrees in mathematics given by U.S colleges and universities in the most recent year, 73% were bachelor's degrees, 21% were master's degrees, and the rest were doctorates. Moreover, women earned 48% of the bachelor's degrees, 42% of the master's degrees, and 29% of the doctorates. You choose a mathematics degree at random.

a) Find the probability that it was awarded to a woman

Answer 1

Answer:

The correct answer is 0.4559.

Step-by-step explanation:

Number of degrees in mathematics given by U.S colleges and universities in the most recent year = 16,071

73% were bachelor's degrees= 73% of 16071 = 11731

Women who earned the bachelor's degree = 48% of 11731 = 5630

21% were master's degrees= 21% of 16071 = 3374

Women who earned the masters's degree = 42% of 3374 = 1417

The rest degree were doctorates= 16071 - 11731 - 3374 = 966.

Women who earned the doctorates degree = 29% of 966 = 280

Total number of women who got mathematics degree = 280 + 1417 + 5630 = 7327.

We need to choose a mathematics degree at random and  find the probability that it was awarded to a woman

Probability = $\frac{7327}{16071}$ = 0.4559