Looks like the PMF is supposed to be

which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

Next,





If

, then

, where we take the positive root because we know

can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that

can take on the values

,

, and

. At these values of

, we would have the same probability as we did for the respective value of

. That is,

Part (5) is incomplete, so I'll stop here.
From the term line the term angle can be defined because when two lines intersect at a point an angle is formed. An angle is defined as a figure which is formed when two lines intersect each other at a point. ... Therefore, the undefined term which is used to define the term an angle is line.
Median is the middle number
60, 60, 65, 70, 70, 85, 90
70 is your median
mode is the number(s) that show up the most
60 and 70 is your mode, since they show up twice (one more than the others)
Range is largest number minus the smallest
90 - 60 = 30, 30 is your range
Mean is all the numbers added together divided by the number of numbers there are
60 + 90 + 65 + 70 + 70 + 85 + 60 = 500
500/7 = 71.42
Mean = 71.42
hope this helps
First distribute the 2 through the parenthses on the right side.
So we have y - 4 = 2x + 8.
In slope-intercept form, the y is by itself on the left side.
So we add 4 to isolate the y on the left to get y = 2x + 12.
So in slope-intercept form, our equation is y = 2x + 12.