An insurance company offers its policyholders a number of different premium payment options. For a randomly...
Homework Answers
a)
| x | 1 | 3 | 5 | 7 |
| P(X) | 0.4 | 0.2 | 0.2 | 0.2 |
b) P(4<x≤7) = P(X=5) + P(X=7) = 0.2+0.2 = 0.4
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An insurance company offers its policyholders a number of
different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is F(x) = {0, if x < 1, 0.4, if 1 lessthanorequalto x < 3, 0.6, if 3 lessthanorequalto x < 5, 0.8, if 5 lessthanorequalto x < 7, 1.0, if x greaterthanorequalto 7. (a) What is the probability mass function of X? (b) Compute P(4...
An insurance company offers its policyholders a number of different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected payments. The cdf of X is as follows policyholder, let x a the number of months between successive 0.37 1Sx <3 Fx)0.49 3sx <4 0.85 6sx <12 12 s x (a) What is the pmf of x? 12 p(x) (b) Using just the cdf, compute P(3 S XS 6) and P4 x
SELF ASSESSMENT 2 An insurance company offers policyholders a number of different Premium payment options. For...
SELF ASSESSMENT 2 An insurance company offers policyholders a number of different Premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function,cdf, of X is as follows: F(x) = 0x< 1 0.30 15x<3 0.40 35x< 4 10.45 4 < x < 6 0.60 6<x< 12 x 12 1 i. Determine the probability distribution function, f(x). ii. Find the expectation and standard deviation of X. iii. Compute,P(3 SXS 6).
An insurance company offers its policyholders a number of different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x) = x <1 0.34 1<x<3 0.44 3 <x< 4 0.494 <x< 6 0.82 6<x< 12 1 125 x (a) What is the pmf of X? P(x) (b) Using just the cdf, compute P(3 5 X 5 6) and P(4 5 X). P(35X56) = P(4...
An insurance company offers its policyholders a number of different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x) = 0 x < 1 0.33 1 < x < 3 0.44 3 < x < 4 0.48 4 < x < 6 0.86 6 < x < 12 1 12 < x (a) What is...
(3) An insurance company offers its policyholders a number of different payment options For a randomly...
(3) An insurance company offers its policyholders a number of different payment options For a randomly sclected policyholder, let X the number of months between successive payments. The edf of X is as follows: 40 3514 44s6 Fa a. What ts the prnfonr b Using just the cdf compue 20 a Using just the pmf compute Px
24. An insurance company offers its policyholders a num- ber of different premium payment options. For...
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: .30 1<x<3 .40 3 <x<4 F(x) = .45 4 <x< 6 .60 6 <x< 12 12 <x 1 a. What is the pmf of X? b. Using just the cdf, compute P(3 < X < 6) and P(4 < X). 27
An insurance company supposes that the number of accidents that each of its policyholders will have...
An insurance company supposes that the number of accidents that each of its policyholders will have this year is Poisson distributed, with a mean depending on the policyholder: the Poisson mean Λ of a randomly chosen person has a Gamma distribution with the Γ(2, 1)-density function fΛ(λ) = λe^(−λ )(λ > 0). Find the expected value of Λ for a policyholder having x accidents this year (x = 0, 1, 2, . . .).
the class is EGEN 350 pleas i need the answers of questions 4,5 and 6 (3pts)...
the class is EGEN 350 pleas i need the answers of questions 4,5
and 6
(3pts) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = number of months between successive payments. If the CDF is as follows, fill in the pmf in the table provided? 4. 0.30 1sx <3 0.45 4 x<6 0.60 6 Sx < 12 1x2 12 Fx)0.40 3sx <4 P(X x) (3pts) A certain type...
Please answer from a-d Problem 2. Let X be a random variable with one of the...
Please answer from a-d
Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is F(x) = {0, if x < 1, 0.4, if 1 lessthanorequalto x < 3, 0.6, if 3 lessthanorequalto x < 5, 0.8, if 5 lessthanorequalto x < 7, 1.0, if x greaterthanorequalto 7. (a) What is the probability mass function of X? (b) Compute P(4...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected payments. The cdf of X is as follows policyholder, let x a the number of months between successive 0.37 1Sx <3 Fx)0.49 3sx <4 0.85 6sx <12 12 s x (a) What is the pmf of x? 12 p(x) (b) Using just the cdf, compute P(3 S XS 6) and P4 x
SELF ASSESSMENT 2 An insurance company offers policyholders a number of different Premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function,cdf, of X is as follows: F(x) = 0x< 1 0.30 15x<3 0.40 35x< 4 10.45 4 < x < 6 0.60 6<x< 12 x 12 1 i. Determine the probability distribution function, f(x). ii. Find the expectation and standard deviation of X. iii. Compute,P(3 SXS 6).
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x) = x <1 0.34 1<x<3 0.44 3 <x< 4 0.494 <x< 6 0.82 6<x< 12 1 125 x (a) What is the pmf of X? P(x) (b) Using just the cdf, compute P(3 5 X 5 6) and P(4 5 X). P(35X56) = P(4...
(3) An insurance company offers its policyholders a number of different payment options For a randomly sclected policyholder, let X the number of months between successive payments. The edf of X is as follows: 40 3514 44s6 Fa a. What ts the prnfonr b Using just the cdf compue 20 a Using just the pmf compute Px
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: .30 1<x<3 .40 3 <x<4 F(x) = .45 4 <x< 6 .60 6 <x< 12 12 <x 1 a. What is the pmf of X? b. Using just the cdf, compute P(3 < X < 6) and P(4 < X). 27
the class is EGEN 350 pleas i need the answers of questions 4,5
and 6
(3pts) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = number of months between successive payments. If the CDF is as follows, fill in the pmf in the table provided? 4. 0.30 1sx <3 0.45 4 x<6 0.60 6 Sx < 12 1x2 12 Fx)0.40 3sx <4 P(X x) (3pts) A certain type...
Please answer from a-d
Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...
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