I need help with number 3. Belowis all the relevant information needed. MATLAB CODE please

Consider the following experiment, where the required probabilities are given as: [00 : 0.4, so = 0.02, .51 = 0.03 0 You transmit a one-bit message M and look at the received bit R. 0 You repeat this experiment N : 100,000 times 0 Calculate the conditional probability P(S : 1|R : 1), lie. the probability that the transmitted bit was 5 = 1, if we know the received bit is R : 1. o SUBMIT the calculated answer and the MATLAB code in a Word le. The received signal "R" as seen from Figure 1 will also be based on generating a random number: t =rand ( ) As seen from Figure 1, signal "R" will be: 1 if S =0 and t E. 0 if S =0 and 1> &, R = 1 if S = 1 and t> & 0 if S =1 and ts & MESSAGE SEND RECEIVE (M) (S) (R) 1 0 0 Po 1 - Eo M P1 1 1 1 -81 Figure 1. Probabilities for symbol transmission error0. Introduction and Background Material 0.] . Message transmission through a noisy communication: channel A digital message "M" is created and sent through a noisy communication channel (Figure 1). The signal "5'" to be transmitted consists of a series of zeros and ones: 0 symbol "0" appears in the signal with probability pa 0 symbol "1" appears in the signal with probability p1 : 1 p0 The transmitted signal "S" is received at the other end of the channel as signal "R\". Due to noise in the communication channel, a transmitted bit may change during transmission: 0 a transmitted bit 0 may be received as 1 with probability e0 (probability of transmission error for symbol 0), o a transmitted bit 1 may be received as 0 with probability e1 (probability of transmission error for symbol 1). The errors for different symbol transmissions are independent. To create one bit of the transmitted message \"5" you have to generate a random number: m :rand() The transmitted message \"5" as seen from Figure 1 will be: 57f), ntng '1, m>p0