According to a survey, it is noted that 29% of housing units with an annual income in the $15,000 to $29,999 range own a large-screen television. Assuming that this is true for the current population of housing units with an annual income in the $15,000 to $29,999 range, find the probability that in a random sample of 400 such housing units, the number that have a large screen television is no more than 105.