Consider a collection of n individuals. . Assume that each person’s birthday is equally likely to be any of the 365 days of the
year and also that the birthdays are independent. For i < j, let Ai,j denote the event that persons i and j have the same birthday, and let X be the number of pairs of people whose birthdays are the same, i.e., the number of Ai,j that occur.(b) Compute E[X], and find the smallest value of n for which E[X] > 1. Describe in words what this means. (A sentence or two is fine.)
1 answer:
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The inequality is 100*≤ 656100.
The correct option is (B).
<h3>What is inequality?</h3>A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
From the table attached below:
a=300, r= 900/300 = 3
As, it is GP
Now,
f(t) =
f(t) =
f(t) = 300/3 *
f(t) = 100*
Inequality is used to determine greater than or equal to 656100
100*≤ 656100
Learn more about inequality here:
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<h2>SOLVING</h2>
What is the slope of the line passing through the point (1,2) and (5,4)
Formula used, here
_______________________________________________________
| simplify
| reduce
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 + = 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people