Faculty positions in a school district are classified as either teacher or administrator based on primary duties and responsibilities. The table below shows information on the number of national board-certified and not board-certified teachers and administrators. Board-certified Not board-certified Administrator 11 5 Teacher 3 13 Determine the probability, ?(board-certified or teacher), that a randomly chosen faculty member is either board-certified or a teacher. Please enter your answer as a decimal, precise to at least four decimal places. A bag of marbles contains 6 blue glass marbles, 8 yellow glass marbles, 33 blue stone marbles, and 2 yellow stone marbles. What is the probability of selecting a marble and having that marble be either a blue marble or a stone marble? Express your answer as a decimal rounded to four decimal places.
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!
Faculty positions in a school district are classified as either teacher or administrator based on primary duties and responsibilities. The table below shows information on the number of national board-certified and not board-certified teachers and administrators.
| Board-certified | Not board-certified | |
|---|---|---|
| Administrator | 11 | 5 |
| Teacher | 3 | 13 |
Determine the probability, ?(board-certified or teacher), that a randomly chosen faculty member is either board-certified or a teacher. Please enter your answer as a decimal, precise to at least four decimal places.
A bag of marbles contains 6 blue glass marbles, 8 yellow glass marbles, 33 blue stone marbles, and 2 yellow stone marbles. What is the probability of selecting a marble and having that marble be either a blue marble or a stone marble? Express your answer as a decimal rounded to four decimal places.
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