Problem:
Let the random variable \( \xi \) be the sum of the amount of the loan, requested by the bank's clients per day. This amount can change in the range from 0 to 1000000 (USD). The bank immediately withdraws the commissions of \( 1 \% \). What function will describe the amount of commissions, received by the bank, depending on the requested loan amount (the random variable \( \tau \) )? Find the distribution function of the random variable \( F_{\tau}(z) \).