3.4.2 Using Binomial Tables

Even for a relatively small value of $n$ , the computation of binomial probabilities can be tedious. Appendix Table A. 1 tabulates the cdf $F\left(x\right)=P\left(X\le x\right)$ for $n=5,10,15,20,25$ in combination with selected values of $p$ corresponding to different columns of the table. Various other probabilities can then be calculated using the proposition on cdf’s from Section 3.2. A table entry of 0 signifies only that the probability is 0 to three significant digits since all table entries are actually positive.

NOTATION

For $X\sim \mathrm{Bin}\left(n,p\right)$ , the cdf will be denoted by

$$\begin{array}{rl}B(x;n,p)& =P(X\le x)=\sum _{y=0}^{x}b(y;n,p)\end{array}$$

where $x=0,1,\dots ,n$.

• EX 3.31 binding strength test
• EX 3.32 power supply units