An Insurance Company Offers Its Policyholders a Number of Different

question 12

Essay

An insurance company offers its policyholders a number of different payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: $$F ( x ) = \left\{ \begin{array} { l l } 0 & x < 1 \\30 & 1 \leq x < 3 \\40 & 3 \leq x < 4 \\.45 & 4 \leq x < 6 \\.60 & 6 \leq x < 12 \\1 & 12 \leq x\end{array} \right.$$
a. What is the pmf of X?
b. Using just the cdf, compute $P ( 3 \leq X \leq 6 ) \text { and } P ( X \geq 4 )$
c. Using just the pmf, compute P(X>6).

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Definitions:

Nurses' Role

The duties and responsibilities carried out by nurses, including patient care, education, and advocacy within the healthcare system.

State Boards

Regulatory agencies responsible for licensing and overseeing professionals and services in various fields within a state.

Health-Related Research

Investigation aimed at improving knowledge, understanding, and interventions related to health and diseases.

Education Level

The highest degree or stage of schooling completed by an individual, often used as an indicator of socioeconomic status and job qualifications.