You have a population of 1,000 students,of which 75% are male.You want to draw a sample of 100 students,of which 50 are male and 50 are female.What is the probability of selection for men?
A)1/1,000
B)75/1,000
C)50/750
D)100/750

Question

Quizplus · Accepted Answer

The probability of selecting a male student from the population is 0.75. Therefore, the expected number of male students in a sample of 100 would be 0.75*100 = 75. Since we want exactly 50 male students in the sample, we need to calculate the probability of selecting 50 male students out of the total population. This can be calculated using the binomial distribution, which gives a probability of 50/750 or 1/15. Therefore, the probability of selection for men is 1/15 or 0.067 or approximately 6.7%.

You Have a Population of 1,000 Students,of Which 75% Are