Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of how guilty feelings impact decisions. 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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kalsoomtahir1 kalsoomtahir1 · Answer 1 · 2020-10-07T20:33:25+02:00

Answer:

a) 0.5 is the probability of students who selected the stated option.

b) =0.8 is the probability of students who choose the stated option.

c) E(x) = P(x) x n

= [(5) + (8)]x 1/10

= 13/10

Step-by-step explanation:

Solution:

Number of students assigned to guilty state = 57

Number of students choose stated option = 45

Randomly Selected students =10

a) Find p(x=5)

x is the number in a sample of 10, who choose the stated option.

Sample number p(s) = 10

P(x) = 5

Probability = p(x) / p(s)

= 5/ 10

=0.5

0.5 is the probability of students who selected the stated option.

(b) Find p(x=8)?

Sample number p(s) = 10

P(x) = 8

Probability = p(x) / p(s)

= 8/ 10

=0.8 is the probability of students who choose the stated option.

(c) Expected (mean) value of x?

The expected value can be calculated by multiplying the probability of an event by the event's amount of times.

E(x) = P(x) x n

= [(5) + (8)]x 1/10

= 13/10