1. An IT helpdesk operator stated that 30% of students have experienced problems with the student desktop.You plan to ask thirty randomly chosen BSNS112 students if they have had issues with the desktop.

a. Justify, in the contextof the question, that this problem can be modelled using the binomial distribution by showing whether or not the four necessary binomial conditions hold.

b. What is the probability that 10 or fewer of the 30 students have had problems?

c. What is the probability that between 5 and 10 (both inclusive) of the 30 have had problems?

d. What is the probability that at least 8 of the 30 have had problems?