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Continuous Uniform Distribution
Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) For instance, if the interest = Rs.72.587, then X = 0.587.
X can take any value between 0 and up to but not including 1. We may assume that each value is equally likely. In which case, X is said to have a continuous Uniform Distribution.
Figure
The probability density function of a typical random variable is given by
Note that the area under the curve equals 1.
It can be shown:
m = E(X) = (a + b)/2
s2 = V(X) = (b - a)2/12
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is 4x-9 a polynomial function?
Forecasting By Using Least Squares Data have been kept of sales over the last seven years Year 1 2 3 4 5 6
A drug has a decay rate of k = - ¼ ln(¾) / hr. How soon after an initial dose of 1600 mg will the drug reach its minimum therapeutic value of 900 mg in the body?
sin 51+cos 81
143
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
This question has two related parts, (a) and (b). (a) Use the daily yields in the table below to compute a daily standard deviation of yields. Next annualize the daily standard
What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32
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