Help in solving the two questions below.

A random sample of n observations is taken from a normal distribution with variance o'. The sample variance is an observation of a random variable S. Show that: (i) E(S' ) =02 [2] (ii) var($2 ) = 204 [2] n-1 [Total 4]Whilst checking the cash book against t the bank statement you find the following discrepancies; (i) Bank charges of Sh 8000 shown in the bank statement have not been entered in the cash book (ii) The bank has debited a cheque of Sh 37000 in error in the account of Juma Mambo Leo (iii) Cheques totaling Sh 96000 have not been presented to the bank for payment. (iv) Dividends received for Sh 4200 have been credited on the bank statement but not yet recorded on Juma Mambo Leo's cash book (v) There were cheques received of Sh 484000 which were entered in the cash book but not yet credited by the bank. (vi) A cheque of Sh 17000 has been returned by the bank marked as 'refer to drawer' but no entry relating to this has been made in the books. (vii) The opening balance in the cash book should have been Sh 651000 and not Sh 561000 (viii) The bank statement shows that there is n overdraft at 31st march 1999 of Sh 198000 Required (i) State and briefly explain two purposes of a bank reconciliation statement. (ii) Entries necessary to correct the cash book (Hii) A bank reconciliation statement as at 31st march 1999A trainee accountant working for a sole trader, Juma Mambo Leo had prepared the following summary of the cash book for the month of March 1999 Cash book Sh Sh Opening balance b/d 561000 Payments 4,189,000 Receipts 3748000 Closing balance c/d 120,000 4309000 4309000