in this sample of 50 students, what is the probability that the majority (strictly more than half) of the students selected prefer Pepsi to coke?

The probability of students preferring pepsi over coke would be 0.0059.

Explanation:

Total number of students = 50

More than half of the students preferred Pepsi to coke.

Half of 50 would be 25

So, minimum of 26 students should prefer Pepsi to coke

Standardized value: (Y - 17.5) / 3.373

P (Y > = 26) = P (Z > = (26-17.5) / 3.373)

= 0.0059

Therefore, the probability of students preferring pepsi over coke would be 0.0059.