Records of a certain Insurance firm show that domestic insurance premiums taken by clients are normally distributed. They further show that the chances of a client taking a premium of at most ksh17500 are 6.68% while the chances of at most ksh 104000 are 97.5%. (i) Determine the mean μ and standard deviation σ of the premiums taken by clients. (ii) Determine the number of clients in a sample of 1000 whose premiums are between ksh44000 and ksh117750 inclusive. (iii) Determine the probability of a client taking a premium of more than ksh155000 or less than ksh40000.