The United States Coast Guard (USCG) is responsible for cruise ship safety. On some ships, USCG officers randomly select passengers for an extra security check before boarding. One such flight had 4300 passengers 1200 in balcony cabins and 2100 in ocean view rooms. USCG officers selected an SRS of 1000 passengers for screening. Let p be the proportion of passengers in balcony cabins in the sample. (c). What is the probability that no more than 75 of passengers in the sample have a balcony?