Question

According to a report from a particular university, 10.8% of female undergraduates take on debt. Find the probability that exactly 4 female undergraduates have taken on debt if 50 female undergraduates were selected at random.The probability that exactly 4 female undergraduates take on debt is

Answer 1

In this problem,

we have a binomial probability distribution

n=50

X=4

p=10.8%=0.108

q=1-0.108=0.892

so

`P(X=4)=(50!)/(4!(50-4)!)*0.108^4*0.892^(46)`

P(X=4)=0.1632 (rounded to 4 decimal places)