Question

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?

Answer 1

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.