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.
