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(1) A researcher surveyed 50 Grade 12 students. He asked them how many universities they have applied into or have plans to apply into for college. The following are the data that he gathered; 5, 4, 3, 4, 6, 3, 2, 4, 6, 5, 3, 4, 5, 6, 3, 2, 3, 4, 2, 5, 6, 2, 4, 5, 6, 3, 5, 6, 3, 2, 4, 5, 3, 4, 2, 5, 6, 3, 2, 2, 5, 5, 4, 3, 4, 3, 2, 2, 6, 5 (a) Count the frequency of similar number of college applications. Put them in a table. (2 points) (b) List in a sample space format all the possible values of X if X is the number of college applications each student have. (1 point) (c) Based on the sample space above, create a probability distribution of X. (2 points) (d) Compute for the mean. Show your solutions.(3 points) (e) Draw the histogram. Make sure that you label them properly. (2 points)