A black-and-white television picture may be viewed as consisting

A black-and-white television picture may be viewed as consisting of approximately 3 x 105 elements, each of which may occupy one of 10 distinct brightness levels with equal probability. Assume that (1) the rate of transmission is 30 picture frames per second, and (2) the signal-to-noise ratio is 30 dB. Using the information capacity theorem, calculate the minimum bandwidth required to support the transmission of the resulting video signal. Note: As a matter of interest, commercial television transmissions actually employ a band width of 4.2 MHz, which fits into an allocated bandwidth of 6MHz.