We believe that 95% of the population of all Business Statistics students consider statistics to be an exciting subject. Suppose we randomly and independently selected 21 students from the population. If the true percentage is really 95%, find the probability of observing 20 or more students who consider statistics to be an exciting subject. Round to six decimal places.
A) 0.716972
B) 0.340562
C) 0.283028
D) 0.376410

Question

Quizplus · Accepted Answer

The probability of observing 20 or more students can be calculated using the binomial distribution with n = 21 and p = 0.95. The probability is P(X ≥ 20) = P(X = 20) + P(X = 21). Calculating these probabilities and summing them gives approximately 0.716972.

We Believe That 95% of the Population of All Business