4. A study conducted in the early 1960's in 9 counties in northern Oregon and southern Washington related exposure to the Hanford Mortality Exposure nuclear plant and mortality rate. Exposure is an index number 147.1 2.5 130.1 2.6 assigned to a county based on its population and proximity to the 3.4 129.9 contaminated water. Mortality is the rate of deaths per 100,000 1.3 113.5 man-years (6 people living for 70 years is 6x70-420 man-years). 1.6 137.5 3.8 162.3 11.6 207.5 Make a graph of the data (use graph paper, label completely, a) 6.4 177.9 and choose the correct axis for the independent(x) and 8.3 210.3 dependent(y) variables). Find the slope between the lowest and highest exposure counties, accurate to 2 decimal b) places. Add a trend line to the graph. c) Choose two representative points from your trend line and find the slope. Explain the d) meaning of the slope in context. Estimate the y-intercept and explain its meaning in context. e)
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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