a)A fair six faced die is thrown times.

(i)What is the probability of exactly sixes?[3 Marks]

(ii)What is the sixes inclusive?[3 Marks]

(iii)Determine values of integers and such that there will be a probability that there will be between and sixes, where , are on symmetrically opposite sides of the mean.[4 Marks]

Suppose you wish to predict the income of University cafeterias on the basis of (a) floor space (b) number of employees. A sample of cafeterias give you the following data