Estimates of the prevalence of Alzheimer's disease have been provided by a local hospital in a report as shown below: Prevalence of Alzheimer's disease (cases per 100 population) Age Group Males Female PARKING LOT PARKING PARKING 65-69 2 70-74 2 75-79 10 80-84 30 20 85+ 20 Lost in a Parking Place Suppose an unrelated 77-year-old man, 76-year-old-woman, and 82-year-old woman are selected from the community. Further suppose that the probability that both members of a married couple will have the disease, where each member is 75-79 years old, is 0.0099. Note: There could be rounding error of +0.0005 v What is the conditional probability that the man will be affected given that the woman is affected? a. 0.1500 b. 0.099 v What is the conditional probability that the woman will be c. 0.1401 affected given the man is affected? v What is the probability that at least one member of the e. 0.1980 couple is affected? V What is the probability that both man and woman are affected? d. 0.0110 f. 0.01042 g. 0.0099 20
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.
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