5. computers use the ascii code to represent 128 characters (upper and lower case english letters, digits, and some other characters) by a string of 7 bits. a parity bit is added to each 7-tuple, creating an octet, to enable some degree of error detection when data is transferred between computers. the parity bit is chosen so that the number of 1s in the octet is even. thus, if a computer receives an octet that has an odd number of 1s, it knows that an error must have occurred. suppose that each bit has a probability p = 0: 1 of being received in error ( ipped), and assume that errors in di erent bits are independent. (this value for p is unrealistically large.) (a) determine the probability that a received octet contains an error. (b) determine the probability that a received octet contains an unde- tectable error. (c) given that a received octet contains an error, determine the proba- bility that the error is detectable.