# Answer in Statistics and Probability for UUUU #242096

An insurance company offers its policyholders a number of different premium payment

options. For a randomly selected policyholder, let X = number of months between

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Answer in Statistics and Probability for UUUU #242096
Just from 13/Page successive payments. The cdf of is as follows: 0 x < 1 0.30 1 ≤ x< 3 f(x)= 0.40 3 ≤ x < 4 0. 45 4 ≤ x < 6 0.60 6 ≤ x ≤ 12 1 12 ≤ x . a) What is the pmf of X ? b) Using just the cdf, compute P(3 ≤ X ≤ 6) and P(4 ≤ X). Solution: We are given with cumulative distribution function: “F(x)-\left\{\begin{array}{cc}0 & x<1 \\ 0.3 & 1 \leq x<3 \\ 0.4 & 3 \leq x<4 \\ 0.45 & 4 \leq x<6 \\ 0.60 & 6 \leq x<12 \\ 1 & 12 \leq x\end{array}\right.” (a) At every step, by subtracting subsequent cumulative distribution function, we can find probability distribution function. “p(0)=0n\\p(1)=F(1)-F(0)=0.3-0=0.3n\\p(2)=0n\\p(3)=F(3)-F(2)=0.4-0.3=0.1n\\p(4)=F(4)-F(3)=0.45-0.40=0.05n\\p(5)=0n\\p(6)=F(6)-F(5)=0.60-0.45=0.15n\\p(6)=0n\\p(7)=0n\\p(8)=0n\\p(9)=0n\\p(10)=0n\\p(11)=0n\\p(12)=F(12)-F(11)=1-0.60=0.40” (b) We have to find probability between x=3 and x= inclusive. This is given by: “\begin{aligned}nn&p(3 \leq x \leq 6)=F(6)-F(2) \\nn&=0.60-0.30 \\nn&=0.30nn\end{aligned}” Therefore, “p(3 \leq x \leq 6)=0.30” Also, we have to find probability for “x” greater than or equal to 4 . This is given by: “\begin{aligned}nn&p(4 \leq x)=F(12)-F(3) \\nn&=1-0.40 \\nn&=0.60nn\end{aligned}” Therefore, “p(4 \leq x)=0.60” # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features66FREE

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