The high-gain antenna on the SOHO spacecraft lost its mobility in the early 2000s. This was due to a design flaw in the antenna that would also present in the Galileo spacecraft that was constructed at around the same time. Let us suppose that the distribution of the number of spacecraft constructed each year with defective high-gain antennas,X, is a Poisson random variable. Given thatE(X)=5 spacecraft/year, what is the probability that at most 3 spacecraft will be constructed with faulty antennae, for a given year?