Asking about this question below, and it already included all information you need. Please give me detail answers and explanations in Excel. Thanks so much!

12. New Cable Subscribers. Spectrum provides cable television and Internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. X f(x) 100,000 10 200,000 20 300,000 25 400,000 .30 500,000 10 600,000 05 a. Is this probability distribution valid? Explain. b. What is the probability Spectrum will obtain more than 400,000 new subscribers? c. What is the probability Spectrum will obtain fewer than 200,000 new subscribers