It is believed that 40% of all medical doctors in Canada are women. Suppose that a random sample of 100 doctors is selected. Find the probability that at least 50% of this sample will be women.
A) 50%
B) 47.93%
C) 2.07%
D) 52.07%
E) 97.93%

Question

Quizplus · Accepted Answer

The probability can be calculated using the binomial distribution with n=100 and p=0.4. The probability of getting at least 50 women (k=50) is found by calculating 1 minus the cumulative probability of getting 49 or fewer women. This results in approximately 2.07%.

It Is Believed That 40% of All Medical Doctors in Canada