Each person in a representative sample of 3,337 students at two-year colleges was asked how they would describe their household's financial situation compared to before the COVID-19 pandemic. Each person in the sample was also asked if they have children who depend on them for care living with them. The responses are summarized in the table. Better than Before Same as Before Worse than Before Children 37 298 306 No Children 208 1,521 967 Suppose one of these 3,337 two-year college students is to be selected at random. (a) What is the probability that the selected student has children? (Round your answer to four decimal places.) (b) What is the probability that the selected student responded that they are better off than before the pandemic? (c) What is the probability that the selected student has children and reported their financial situation was worse than before the pandemic? (d) What is the probability that the selected student does not have children and reported that their financial situation was the same as before the pandemic? (e) What is the probability that the selected student does not have children and reported their financial situation was worse than before the pandemic? (f) Are the events C = selected student has children and W = selected student responded they are worse off independent events? Use probabilities calculated from the information in the given table to justify your answer. Since PC --?--W ----P(C) ---- P(W) we see that the events C and W ---Select-- independent.