A statistics class has 140 students of which 55% are female. A random sample of 40 students was selected. What is the probability that 24 or more from this sample will be female?
A)0.0505
B)0.2266
C)0.2611
D)0.1469

Question

Quizplus · Accepted Answer

This is a binomial probability problem where we are looking for the probability of getting 24 or more successes (female students in this case) out of 40 trials (students sampled), where the probability of success on each trial is 0.55 (since 55% of the 140 students are female). The correct answer can be found using binomial probability formulas or a binomial probability calculator. Among the given options, 0.2266 is the correct probability for getting at least 24 female students in a sample of 40, based on the binomial distribution with p = 0.55 and n = 40.

A Statistics Class Has 140 Students of Which 55% Are