An automobile insurance company predicts that 15% of policy
holders file a claim within the next...
An automobile insurance company predicts that 15% of policy
holders file a claim within the next (8pt) year. Since this company
has many policy holders, we may assume that filing a claim is
independent between policy holders.
a. If 15 policy holders are randomly selected, what is the
probability that exactly two will
file a claim within the next year? What calculator command and
inputs did you use?
Solutions
Expert Solution
n = 15
p = 0.15
Probability (exactly two will file a claim within the next year)
= 0.2856
An automobile insurance company predicts that 15% of policy
holders file a claim within the next year. Since this company has
many policy holders, we may assume that filing a claim is
independent between policy holders.
a. If 15 policy holders are randomly selected, what is the
probability that exactly two will file a claim
within the next year? What calculator command and inputs did you
use?
b. If 15 policy holders are randomly selected, what is the
probability that...
An automobile insurance company predicts that 15% of policy
holders file a claim within the next (8pt) year. Since this company
has many policy holders, we may assume that filing a claim is
independent between policy holders.
a. If 15 policy holders are randomly selected, what is the
probability that exactly two will
file a claim within the next year? What calculator command and
inputs did you use?
b. If 15 policy holders are randomly selected, what is the
probability...
An insurance company has 10,000 automobile policy holders. The
expected yearly claim per policyholder is $240, with a standard
deviation of $800. Approximate the probability that the total
yearly claims:
a) exceeds $2 million
b) is less than $1.5 million
An insurance company sells an insurance policy for $1000. If
there is no claim on a policy, the company makes a profit of $1000.
If there is a claim on a policy, theȱȱcompany faces a large loss
onȱȱthat policy. The expected value to the company, per policy, is
$250. Which of the following statements is (are) true? A: The most
likely outcome on any single policy is a profit for the company of
$250. B: If the company sells only...
An insurance company states in its automobile insurance policy
that in case of an accident, it uses the formula P = (x - x^4/5)
(y-18 / 50) to determine how much to reimburse a
policyholder, where x is the value of the car at the time of the
accident and y is the age of the person driving. The policyholder
must sign a document indicating agreement with this procedure for
determining reimbursement amounts. Joe, a 70 year old policyholder,
was driving...
Program this in RStudio
A insurance company is estimating the risk in 250 annual policies. If 10% of the policy holders have at least one claim per year(accident) as usual. What's the probability that more than 12% of 250 has at least one claim?
An insurance policy costs $110 and will pay policy holders
$12,000 if they suffer a major injury (resulting in
hospitalization) or $3500 if they suffer a minor injury (resulting
in lost time from work). The company estimates that 1 in every
1985 policy holders will suffer a major injury and that 1 in 468
will suffer a minor injury.
a) Create a probability model for the profit
on a policy.
b) What's the company's expected profit on
the policy?
c)...
Benefits Plus is health insurance company that pays medical and
hospital claims of the policy holders.
In order to have their claims processed, policy holders must
submit a claim form. All claims are either mailed or presented in
person to Benefits Plus' Claims Processing Department. Claims forms
are first checked by claims screening clerks and any incomplete
forms are returned to the claimant for completion. Details of those
incomplete forms which are returned by mail are first entered in a...
Benefits Plus is health insurance company that pays medical and
hospital claims of the policy holders.
In order to have
policyholder’s claims processed,
policy holders must submit a claim form. All claims are either
mailed or presented in person to Benefits Plus' Claims
Processing Department. Claims forms are first checked by
Claims Screening Clerks and any incomplete forms
are returned to the claimant (policyholder) for completion. Details
of those incomplete forms which are returned to the policy holder
are first...
Benefits Plus is health insurance
company that pays medical and hospital claims of the policy
holders.
In order to have
policyholder’s claims processed,
policy holders must submit a claim form. All claims are either
mailed or presented in person to Benefits Plus' Claims
Processing Department. Claims forms are first checked by
Claims Screening Clerks and any incomplete forms
are returned to the claimant (policyholder) for completion. Details
of those incomplete forms which are returned to the policy holder
are first...