Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
Answer:
The probability of the tip to be more than 200 is 0.1.
Step-by-step explanation:
As per the given data
Amount of tip Number
0-20 200
20-50 100
50-100 75
100-200 75
200+ 50
____________________
Total= 500
So what is the probability of tip to be more than 200 is given as
From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:
So the probability of the tip to be more than 200 is 0.1.
Let us cube both sides.
Now, it will be only x + 1.
Transpose 1 to the Right Hand Side.
Now, subtract.
<u>Answer</u><u>:</u>
x = 7
Hope you could understand.
If you have any query, feel free to ask.