Guilt in decision making. Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of how guilty feelings impact decisions, Exercise 3.59

(p. 170). 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 P1x = 52.

b. Find P1x = 82.

c. What is the expected value (mean) of x?