Although the rules of probability are just basic facts about percents or proportions, we need to be able to use the language of events and their probabilities. Choose an American adult aged 2020 years and over at random. Define two events: ?=A= the person chosen is obese ?=B= the person chosen is overweight, but not obese According to the National Center for Health Statistics, ?(?)=0.38P(A)=0.38 and ?(?)=0.33P(B)=0.33 . (a) Select the correct explanation describing why events ?A and ?B are disjoint. Event ?B rules out obese subjects. Some people may be considered obese and overweight. Some people are not obese nor overweight. An obese person is certainly overweight. (b) Select the correct description stating what the event ?A or ?B is. ?A or ?B is the event that the person chosen is not obese or not overweight. ?A or ?B is the event that the person chosen is overweight and obese. ?A or ?B is the event that the person chosen is overweight or obese or both. ?A or ?B is the event that the person is overweight or obese. What is ?(? or ?)P(A or B)? ?(? or ?)=0.34P(A or B)=0.34 ?(? or ?)=0.55P(A or B)=0.55 ?(? or ?)=0.02P(A or B)=0.02 ?(? or ?)=0.71P(A or B)=0.71 (c) If ?C is the event that the person chosen has normal weight or less, what is ?(?)P(C) ? ?(?)=0.29P(C)=0.29 ?(?)=0.66P(C)=0.66 ?(?)=0.45P(C)=0.45 ?(?)=0.68P(
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.
Although the rules of
?=A= the person chosen is obese
?=B= the person chosen is overweight, but not obese
According to the National Center for Health Statistics, ?(?)=0.38P(A)=0.38 and ?(?)=0.33P(B)=0.33 .
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