For a normal distribution with μ= 24 and σ= 3.5, determine the minimum data value to be in P44 (44 percentile). minimum data value =
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!
For a
minimum data value =
Assuming we have a uniform distribution, X, between 12 and 21, calculate the probability that a randomly selected data value will be between 13 and 21.
| P(13 < x < 21) = |
From a normal distribution with μμ = 35 and σσ = 4.4, samples of size 38 are chosen to create a sampling distribution. In the sampling distribution determine the probability that a sample mean is at least 33.415.
| P(33.415 ≤ ¯xx¯) = |
What is the z-score corresponding to P82
| z = |
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