Q24 Suppose that the results of the Statistics exam have a mean of 12.0 and a standard deviation of 2.00, and have a normal distribution. Find: A. A probability that a student will score less than 14 B. The probability of a student obtaining a grade higher than 8 C. The probability that a student will get a grade between 8 and 14 D. A grade below which 10% of senior students were identified E. The grade above which 15% of the best students were chosen F. As notes that limit 50% of the results centered on the average
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!
Q24 Suppose that the results of the Statistics exam have a mean of 12.0 and a standard deviation of 2.00, and have a
Find:
A. A
B. The probability of a student obtaining a grade higher than 8
C. The probability that a student will get a grade between 8 and 14
D. A grade below which 10% of senior students were identified
E. The grade above which 15% of the best students were chosen
F. As notes that limit 50% of the results centered on the average
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