3. A contractor is planning the acquisition of construction equipment, including bulldozers, needed for a new project in a remote area. Suppose that from his prior experience with similar bulldozers, he estimated that there is a 75% chance that each bulldozer can remain operational for at least 6 months. If he purchased three bulldozers for the new project, after 6 months into the project please calculate the probability using the binomial distribution that a. none of the bulldozers will be operational? b. all the bulldozers will be operational? c. at least one bulldozer will be operational? d. there will be only 1 bulldozer left operational? e. only two bulldozers will be operational? Confirm your answers by mapping the sample space