Refer to the Journal of Behavioral Decision Making (Jan., 2007) study of how guilty feelings impact decisions, Exercise. Recall that 57 students were assigned to a guilty state through a reading/writing task. Immediately after the task, the students were presented with a decision problem where the stated option has predominantly negative features (e.g., spending money on repairing a very old car). Of these 57 students, 45 chose the stated option. Suppose 10 of the 57 guilty-state students are selected at random. Define x as the number in the sample of 10 who chose the stated option. ,a. Find P(x = 5). ,b. Find P(x = 8). ,c. What is the expected value (mean) of x?

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