Suppose that upper x has a discrete uniform distribution f left-parenthesis x right-parenthesis equals startlayout left-brace1st row 1st column 1 divided by 3, 2nd column x equals 1,2,3 2nd row 1st column 0, 2nd column otherwise endlayout a random sample of n equals 35 is selected from this population. find the probability that the sample mean is greater than 2.1 but less than 2.5. express the final answer to four decimal places (e. g. 0.9876).

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.