Answer the answer is A
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Step-by-step explanation:
Answer:
x < 48
Step-by-step explanation:
First, subtract 3 from both sides of this inequality: x/12 < 4.
Multiply both sides of this inequality by 12 to remove fractions: x < 48
Answer:
(a) I attached a photo with the diagram.
(b) 
(c) 1/4
(d) 4
(e) 
Step-by-step explanation:
(a) I attached a photo with the diagram.
(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.
To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.
1 - Your first outcome is HEADS and all the others are different except the last one.
2 - Your first outcome is TAILS and all the others are different except the last one.
Therefore the probability of the event is

(c)
P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.

(d)
Remember that this is a geometric distribution therefore
, in this case
so
and
![E[X+1]^2 = ( E[X] +1 )^2 = (1+1)^2 = 2^2 = 4](https://tex.z-dn.net/?f=E%5BX%2B1%5D%5E2%20%3D%20%28%20E%5BX%5D%20%2B1%20%29%5E2%20%20%3D%20%281%2B1%29%5E2%20%3D%202%5E2%20%3D%204)
Also
(e)
This is a geometric distribution so its variance is

And using properties of variance

Answer:
He sold 960 kg
Step-by-step explanation:
Let the initial stock measure be x kg
So if he sold 45% ; what he sold was;
45/100 * x = 0.45x
So the quantity left would be;
x - 0.45x = 0.55x
So what was left is 96kg more than what was sold
Mathematically, we have this as;
0.55x - 0.45 x = 96
0.1x = 96
x = 96/0.1
x = 960 kg
X is about 1.20906195
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