. Generate 106 message bits (random binary values (bool/int) ). 2. Generate the corresponding code bits for r = 3, 5. This means you will repeat the simulation once for each r value. You may, for example, do this in a loop. 3. Transmit the code bits through a BSC with transition probability p, for each p in the set {10rho , rho = −3, −2.99, −2.98, . . . , −0.3}. Similar to the point above, this means that for each r value, you will repeat the simulation for each p value. 4. Decode the received codebits form the output of the channel to extract the message bits. 5. Compare the original message bits to the extracted ones to compute the number of errors. The error rate is then equal to # of errors in message bits total # of message bits

5.a fishing rod is formed from a composite material of 0.5 kg of glass fibers embedded in a matrix of 0.5 kg of epoxy resin. the glass fibers are assumed to be long, continuous and unidirectional. to achieve a greater stiffness it is proposed to use a different composite that is comprised of long continuous carbon fibers that will be embedded in a matrix of 0.5 kg of epoxy resin. if the modulus of elasticity of the carbon fiber composite is 10% greater than the elastic modulus of the glass fiber composite, estimate the mass of carbon fibers that will be used to make the carbon fiber composite. assume the applied tensile stress is parallel to the direction of the long axis of the fibers. the epoxy resin, glass fiber, and carbon fiber have an elastic modulus of 5, 86, and 350 gpa respectively and a density of 1100, 2500, and 1800 respectively.