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Word Problem #1 (Normal Distribution) Suppose that the distribution of diastolic blood pressure in a population of hypertensive women is modeled well by a normal probability distribution with mean 100 mm Hg and standard deviation 14 mm Hg. Let X be the random variable representing this distribution.
Normal Distribution/Empirical Rule/Z-Scores Word Problems 1. The average playing time of CDs in a large collection is 35 minutes, and the standard deviation is 5 minutes. a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations from the mean? b.
this is why the normal distribution is sometimes called the Gaussian distribution. It is given by the formula 0.1 fz()= 1 2π e− 1 2 z2. z is called the standard normal variate and represents a normal distribution with mean 0 and SD 1. The graph of the function is shown opposite. Note that the function fz() has no value for which it is zero, i.e.
The distribution of the number of acres burned is normal. What is the probability that between 2,500 and 4,200 acres will be burned in any given year? Normal Distribution 2.40
The standard normal distribution has mean = 0 and standard deviation ˙= 1; for real- world normal distributions, the mean, symbolized by , can be any number and the standard deviation, symbolized by ˙, can be any positive number.
2 ημέρες πριν · When data are perfectly normally distributed, the mode, median, and mean will be the same number and will be on the x-axis directly under the apex or peak of the curve. The normal distribution is also symmetrical. This means that the left side of the graph is a mirror image of the right side of the graph.
His time, Y minutes, to install a meter has a mean of 37 and a standard deviation of 25. (i) (ii) (iii) Explain why Y is unlikely to be normally distributed. (2 marks) State why Y, the mean of a random sample of 35 gas meter installations, is likely to be approximately normally distributed. Determine P(Y > 40).
