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This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term . In other words, .
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The goal is to find P(x < 0.65). 1. The first step is to convert 0.65 to a standard score. z = (x - mean) / standard deviation = (0.65 - 0.53) / 0.11 = 1.09. 2. The problem now is to find P(z < 1.09). This is a left tail problem as shown in the illustration to the right. P(z < 1.09) = 0.8621 (see table below) Therefore, P(x < 0.65) = 0.8621
11) The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. 44.3 41.4 42.7 40.6 43.1 40.5 44.8 42.0 44.3 42.1 43.4 42.0 40.6 43.4 41.4 11) Find the mean and median for each of the two samples, then compare the two sets of results.
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Example of the Geometric Mean Return Formula. A simple example of the geometric mean return formula would be $1000 in a money market account that earns 20% in year one, 6% in year two, and 1% in year three. It would be incorrect to use the arithmetic mean of adding the rates together and dividing them by three.
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