Midterm exam scores are normally distributed with a mean of 75 and a standard deviation of 6. If the exam is given to 10,000 students, we would expect? Half the scores to fall between 64 and 88. B. No one to have received a score of 87. C. No one to have received a score below 63.
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!
Midterm exam scores are
- Half the scores to fall between 64 and 88. B. No one to have received a score of 87. C. No one to have received a score below 63. D. Almost all scores to fall between 70 and 83. E. Just over one third of the scores to fall between 75 and 81.
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