Problem # 6. Dr. Mendoza developed a test to measure boredom tolerance. The test results for the group of 20,000 adults are shown in the following table. Determine if the table satisfies a probability distribution (2 points). If yes, find the mean (2 points), variance (3 points), and standard deviation (3 points)? Show all your steps. Hint use the formula given on page 195 and example 6 on page 195 of the textbook. X P(X) X *P(X) ( X - H) 2 (X -H)2 * P(X) 0 0.07 1 0.13 2 0. 18 3 0.30 4 0.22 5 0.10