Question

9.4.3-SS : Question Help According to a report from a particular university, 42% of female undergraduates take on debt. Find the probability that none of the female undergraduates have taken on debt if 8 female undergraduates were selected at random. What probability should be found? O A. P(1 female undergraduate takes on debt) B. P(O female undergraduates take on debt) O C. P(2 female undergraduates take on debt) OD. P(8 female undergraduates take on debt) The probability that none of the female undergraduates take on debt is (Type an integer or decimal rounded to three decimal places as needed.)

Answer 1

Given that ,

p = 0.42

1 - p = 1 - 0.42 = 0.58

(a)n = 8

Using binomial probability formula ,

P(X = 0) = (₈ C ₀) * (0.42)⁰ * (0.5)⁸

^=0.0128

^{probability=0.013}