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.
Answer: 17
It’s 17 because they are the same shape and size just are flipped
The answer is B. Y= 3/4x-1
Answer:
This should be parallel.
Step-by-step explanation:
Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.
Here, you should put both equations in slope intercept form which is y=mx+b. The letter "M" represents the slope of both equations.
2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.
8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.
The slopes for each equation match making these lines parallel.
Answer:
0.0011904
Step-by-step explanation:
Given that:
Number of slips = 7
Sample space = (1, 2, 3, 3, 5, 6, 7)
Numbwe of slips drawn = 4
Probability = required outcome / Total possible outcomes
Note ; selection is without replacement ;
P(drawing 1) = 1 /7
P(drawing 2) = 1 /6
P(drawing 3) = 1/5
P(drawing 4) = 1/4
1/7 * 1/6 * 1/5 * 1/4 = 0.0011904