Statistics and Probability

Decide whether the following argument is valid or invalid, and give the form that applies. If the stereo is loud, then the neighbors complain. The stereo is not loud. The neighbors do not complain. A jar contains 5 white marbles, 2 orange marbles, 4 yellow marbles, and 3 black marbles. If a marble is drawn at N random, find the probability that the marble is not yellow. Let f(x) = 7 - 4x. Find f( - 5). W Write the negation of the following statement, applying De Morgan's Laws to simplify. "The basketball is hard or the train is dangerous." What is the simplified negation of the statement? 5 Decide whether the following argument is valid or invalid, and give the form that applies. If the band plays, then the people are happy. The band does not play. The people are not happy. Determine whether the following is true or false, and explain why. The statement "If I study hard, I will pass the exam" is equivalent to the statement "Studying hard is sufficient for me to pass the exam." Decide whether the following argument is valid or invalid, and give the form that applies. If the steak is rare, then the inside is pink. The inside is not pink. The steak is not rare