The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by x | 0 | 1 | 2 | 3 | 4 f(x) | 0.41 | 0.37 | 0.16 | 0.05 | 0.01 Find the cumulative distribution function F(2).
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The distribution is given as follows: \[ \begin{array}{c|c} x & f(x) \\ \hline 0 & 0.41 \\ 1 & 0.37 \\ 2 & 0.16 \\ 3 & 0.05 \\ 4 & 0.01 \\ \end{array} \] Show more…
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The probability distribution of X, the number of imperfections per 10 meters of synthetic fabric in continuous rolls of uniform width, is given by: x | 0 | 1 | 2 | 3 | 4 f(x) | 0.25 | 0.35 | 0.15 | 0.20 | 0.05 Construct the cumulative distribution function of X.
Krishna G.
The probability distribution of $X,$ the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 on page 112 $$ \begin{array}{c|ccccc} x & 0 & 1 & 2 & 3 & 4 \\ \hline f(x) & 0.41 & 0.37 & 0.16 & 0.05 & 0.01 \end{array} $$ Find the average number of imperfections per 10 meters of this fabric.
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Consider the situation in Exercise 4.32 on page 139. The distribution of the number of imperfections per 10 meters of synthetic failure is given by $$ \begin{array}{c|ccccc} x & 0 & 1 & 2 & 3 & 4 \\ \hline f(x) & 0.41 & 0.37 & 0.16 & 0.05 & 0.01 \end{array} $$ Find the variance and standard deviation of the number of imperfections.
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