Over a long period of time, an electrician has established that 17% of his accounts are paid late. A friend suggests that changing the ink colour on his accounts from black to red might help encourage customers to pay more quickly. To test this idea, the electrician sends accounts printed in red ink to a random sample of 30 of his customers. Only one of these customers is late in paying their account.

Using an appropriate probability distribution, determine the probability of having no more than one late payment from 30 customers, if the late payment rate is 17%.