Step-by-step explanation:
a) X is a discrete uniform distribution. As the number of outcomes is only 3.
b) sum is at least 4
X ≥ 4
i.e (1,3) or (2,3)
probability of X ≥ 4 is 2/3
2/3= 0.667
66.7 % is the probability of the outcome to have a sum at least 4.
c) The 3 likely outcome of X
<em>(1,2) where X ; </em> 1+2=3
<em>(1,3) where X ;</em> 1+3=4
<em>(2,3) where X ;</em> 2+3=5
Mean = 3+4+5/ 3
Mean = 4
Feel free to ask any uncleared step
Answer:
base = 8
Step-by-step explanation:
The general formula for the area of a parallelogram is:
A = bh, where b = the length of the base and h = the height
Using the given values for area and height, we can solve for the missing variable of 'b':
23
2

Multiply both sides by the reciprocal:



A.)))))))))))
- Harvard university professor
Step-by-step explanation:
the second and the 6th options keep the same graph but shift it to the left.
the other options :
the first option changes the graph (the factor -2 stretched and flips the graph).
the third and the 5th options shift the graph up and down. but not to the left.
the 4th option shifts it to the right.
when you add a constant inside the x terms, you shift to the left.
when you subtract a constant inside the x terms, you shift to the right.
e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.
in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.
<u>it is the first one</u>, because y CAN be 1-3x, so the line is solid. then, it is a simple matter of placing it correctly based on the y-intercept, which is one. the shading goes under the line because it is <u>less than </u>or equal to