State Is a Smoker Is not a Smoker Kentucky 47 176 Indiana 32 134 Ohio 39 182 Totals 118 492 Use the data to compute the probability that an adult in the sample smokes. Calculate the probability of an adult in each state being a smoker. Which state has the lowest probability of an adult being a smoker? Calculate the probability of an adult from Indiana or Ohio being a non-smoker.\ Calculate the probability that an adult smoker in the sample is from Kentucky.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
|
State |
Is a Smoker |
Is not a Smoker |
|
Kentucky |
47 |
176 |
|
Indiana |
32 |
134 |
|
Ohio |
39 |
182 |
|
Totals |
118 |
492 |
- Use the data to compute the
probability that an adult in the sample smokes. - Calculate the probability of an adult in each state being a smoker. Which state has the lowest probability of an adult being a smoker?
- Calculate the probability of an adult from Indiana or Ohio being a non-smoker.\
- Calculate the probability that an adult smoker in the sample is from Kentucky.
Provided data is,
|
State |
Is a smoker |
Is a not smoker |
|
Kentucky |
47 |
176 |
|
Indiana |
32 |
134 |
|
Ohio |
39 |
182 |
|
Totals |
118 |
492 |
- The probability that an adult in sample smokers can be calculated as:
Probability of an adult in sample smokers is 0.1934.
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