It has been alleged that 40% of all community college students favour Dell computers. If this were true, and we took a random sample of 25 students, the binomial probability table for cumulative values of x available in your text would reveal which of the following probabilities?
A) The probability of 10 or fewer students in favour is 0.586.
B) The probability of fewer than 19 students in favour is 1.000.
C) Both a and b.

Question

Quizplus · Accepted Answer

If the true proportion of community college students who favour Dell computers is 40%, then we can model the number of students in a random sample of 25 who favour Dell computers using a binomial distribution with parameters n = 25 and p = 0.4.

Using the binomial probability table for cumulative values of x, we can find:

a) The probability of 10 or fewer students in favour:

P(X ≤ 10) = 0.586

b) The probability of fewer than 19 students in favour:

P(X < 19) = 1.000

Therefore, both statements A and B are true, and the correct answer is choice C.

It Has Been Alleged That 40% of All Community College