(a) "What was the prevalence of type II diabetes in this community on January 1st 2016?" (b) "What was the prevalence of type II diabetes in this community on 30th of December 2016?" (c) What was the cumulative incidence of type II diabetes in this community during 2016?"
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
A rural community in Queensland was estimated to have a population of 73,000 during a census conducted on January 1st2016. Of these, 3600 people were known to have been diagnosed with type 2 diabetes before this day. During 2016, the entire community was followed and 230 new cases of type 2 diabetes were diagnosed.
(a) "What was the prevalence of type II diabetes in this community on January 1st 2016?"
(b) "What was the prevalence of type II diabetes in this community on 30th of December 2016?"
(c) What was the cumulative incidence of type II diabetes in this community during 2016?"
(d) It appeared that not all the people at risk were followed for the entire period. During 2016 about 5,000 people from the entire community either died or left the area to a different state, and assume that the cases of diabetes were healthy at least half of the year what was the person-time of observation for this community cohort
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