"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota
2 answers:
Answer:
This is the Law of <u>large</u> Numbers.
Step-by-step explanation:
The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.
That is, as <em>n</em> → ∞ the value of → μ.
For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.
To check this perform an experiment whether the coin is tossed 20 times.
The probability of heads will be somewhere near 0.50.
Now toss the coins 50 times.
The probability of heads will be now closer to 0.50.
Now toss the coins 100 times.
The probability of heads will be approximately equal to 0.50.
Thus, as the number of tosses was increased the probability of getting a head is closer tot he theoretical probability.
Thus, the complete statement is:
This is the Law of <u>large</u> Numbers.
You might be interested in
2 liters of bottle will last for 11 days
<em><u>Solution:</u></em>
Given that six donkeys are each given two 5 ml spoon of medicine three times each day
To find: number of days 2 liter bottle will last
From given question,
six donkeys are each given two 5 ml spoon
Therefore, six donkeys are each given 10 ml spoon of medicine ( since two 5 ml = 2 x 5 = 10 ml)
six donkeys each given 10 ml
Therefore, one donkey = 10 ml
For 6 donkeys,
6 donkey = 6 x 10 ml = 60 ml
Therefore, for 6 donkeys, they give 60 ml medicine three times a day
one time = 60 ml
three times a day = 3 x 60 ml = 180 ml
Thus for one day, 6 donkeys are given 180 ml of medicine
Let us convert 180 ml to liter
We know that,
1 liter = 1000 milliliter
Therefore,
Now to find the number of whole days a 2 litre bottle will last:
Let "x" be the number of days 2 liter bottle will last
For one day, 6 donkeys are given 0.18 liter of medicine
1 day = 0.18 liter
"x" days = 2 liter
This forms a proportion
By cross multiplication, we get
Thus 2 liters of bottle will last for 11 days
For the<span> geometric sequence, it has two forms of formula
</span>
<span>We are interested in the recursive formula now
</span>
<span> {-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our r</span><span>ecursive formula would be
</span>
</span>
<span>We are interested in the recursive formula now
</span>
<span> {-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our r</span><span>ecursive formula would be
</span>
I hope that helps!