The auditorium for a talk has 80 seats. The proportion of ticket holders who are students is known to be 18%.
The number of students attending is modelled by X∼B(80,0.18)X\sim B(80,0.18)X∼B(80,0.18).
State two features of the situation that support the stated binomial model.
Find P(X≥12)P(X \ge 12)P(X≥12).
Make two comments on whether it would be appropriate to use X X\,X to model the number of students attending the talk.