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($2) =02 [2] 204 (ii) var(S) = n-1 [2] [Total 4]A 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 4309000Whilst checking the cash book against tthe bank statement you nd the following discrepancies; [i] Bank charges of 5h 9999 shown in the bank statement have not been entered in the lush book [ii] The bank has debited a cheque of Sh 31-939 in error in the account of Juma Mambo Leo {iii} Cheques totaling Sh 99999 have not been presented to the bank for payment. {iv} Dividends received for 5h 4299 have been credited on the bank statement but not yet recorded on Juma Mambo Leo's cash book {v} There were cheques received of 5h 494999 which were entered in the cash book but not yet credited by the bank. {vi} Acheque of Sh 11999 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 951999 and not Sh 591999 {viii} The bank statement shows that there is n overdraft at 315t march 1999 of 9h 199999 Required [i] Etate and briey explain two purposes of a bank reconciliation statement. {ii} Entries necessary to correct the cash book [iii] Abank reconciliation statementas at31st march 1999