A brokerage survey reports that 40% of all individual investors have used a discount broker (one that does not charge the full commission).

A brokerage survey reports that 40% of all individual investors have used a discount broker (one that does not charge the full commission). If a random sample of 135 individual investors is taken, approximate the probability that at least 56 have used a discount broker. Use the normal approximation to the binomial with a correction for continuity.