Age group // Number in age group // Probability of claim per life // Mean of...
Age group // Number in age group // Probability of claim per life // Mean of the exponential distribution of claim amounts
18-35 // 400 // 0.03 // 5
36-50 // 300 // 0.07 // 3
51-65 // 200 // 0.10 // 2
A group life insurance contract covering independent lives is
rated in three age groupings as given in the table above. The
insurer prices the contract so that the probability that claims
will exceed the premium is 0.05. Using the normal approximation,
determine the premium that the insurer will charge.
.
Homework Answers
We will calculate mean and variance :
Means=E(X) =400*(0.03)*(5)+300*(0.07)*(3)+400*(0.1)*(2)
=163
Variance = Var(X)
=400[(0.03)(5)2 + (0.03)(0.97)52 ] +300[(0.07)(3)2 + 0.07(0.93)(3)2 ] + 200[0.10(2)2 + 0.10(0.9)(2)2 ] =1107.77.
We have
Pr(S > P) =0.05
Pr(S <= P) =0.95
Pr ( Z ≤ P − 163 / √ 1107.77 )=0.95
P − 163 / √ 1107.77 =1.645
P=1.645*√ 1107.77+163
P=217.75
Hope this will be helpful. Thanks and God Bless You:)
Add Answer to:
Age group // Number in age group // Probability of claim per
life // Mean of...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are in...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 220 claims will be filed by the group of policyholders? B) 0.159 A) 0.079 C) 0.444 D) 0.556 E) 0.921 Question 2-20 An actuary is studying claim patterns in an insurer's book of business. He compiles...
Grace's employer is now offering group-term life insurance. The company will provide each employee with $120,000...
Grace's employer is now offering group-term life insurance. The company will provide each employee with $120,000 of group-term life insurance. It costs Grace's employer $680 to provide this amount of insurance to Grace each year. Assuming that Grace is 37 years old, use the table to determine the monthly premium that Grace must include in income as a result of receiving the group-term life benefit. EXHIBIT 12-08 Uniform Premiums for $1,000 of Group-Term Life Insurance Protection 5-Year Age Bracket Cost...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 210 bulbs and found them to have a sample mean life of 1980 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Ou = 2000 O x = 2000 Ox< 2000 Ou...
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure,...
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker. Risk Age Blood Pressure Smoker 14 58 201 0 23 82 98 1 25 74...
A homeowners' policy will typically pay up to $500 per plant that is damaged by a...
A homeowners' policy will typically pay up to $500 per plant that is damaged by a covered peril. This is an example of: an aggregate dollar limit an open perils dollar limit C. a specific dollar limit a mixed dollar limit none of the above e. You purchase an annuity for which you will make one payment of $15,000 on your 50 birthday. The annuity will start paying you $400 a month on your 67" birthday until you die. What...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 220 claims will be filed by the group of policyholders? B) 0.159 A) 0.079 C) 0.444 D) 0.556 E) 0.921 Question 2-20 An actuary is studying claim patterns in an insurer's book of business. He compiles...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 210 bulbs and found them to have a sample mean life of 1980 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Ou = 2000 O x = 2000 Ox< 2000 Ou...
A homeowners' policy will typically pay up to $500 per plant that is damaged by a covered peril. This is an example of: an aggregate dollar limit an open perils dollar limit C. a specific dollar limit a mixed dollar limit none of the above e. You purchase an annuity for which you will make one payment of $15,000 on your 50 birthday. The annuity will start paying you $400 a month on your 67" birthday until you die. What...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
Most questions answered within 3 hours.
-
3) What are the typical social structures in a global city?
asked 1 minute from now -
Luther Corporation
Consolidated Balance Sheet
December 31, 2019 and 2018 (in $ millions)
Assets
2019
2018...
asked 21 seconds ago -
(Expected rate of return and risk) Carter Inc. is evaluating a
security. Calculate the investment’s expected...
asked 2 hours ago -
What specific indicators can point to lack of progress for
African Americans in American society?
asked 3 hours ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 3 hours ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 4 hours ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 5 hours ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 5 hours ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 6 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 7 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 7 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 7 hours ago