Convert 2.5 tons into pounds
2 answers:
You might be interested in
Answer:
The given relation R is equivalence relation.
Step-by-step explanation:
Given that:
Where is the relation on the set of ordered pairs of positive integers.
To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.
1. First of all, let us check reflexive property:
Reflexive property means:
Here we need to prove:
As per the given relation:
which is true.
R is reflexive.
2. Now, let us check symmetric property:
Symmetric property means:
Here we need to prove:
As per the given relation:
means
means
Hence true.
R is symmetric.
3. R to be transitive, we need to prove:
means
.... (1)
means
...... (2)
To prove:
To be we need to prove:
Multiply (1) with (2):
So, R is transitive as well.
Hence proved that R is an equivalence relation.
Answer:
the approximate probability that the insurance company will have claims exceeding the premiums collected is
Step-by-step explanation:
The probability of the density function of the total claim amount for the health insurance policy is given as :
Thus, the expected total claim amount = 1000
The variance of the total claim amount
However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100
To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :
P(X > 1100 n )
where n = numbers of premium sold
Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is