If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x<11) for n= 20, p 0.6 b. P(x2 19) for n 25, p 0.7 More Info Binomial Probabilities for n = 25 .10 .20 .30 .40 .50 .60 .70 '.80 .90 .072 .004 .000 .000 .000 .000 .000 .000 .000 1 271 .027 .002 .000 .000 .000 .000 .000 .000 537 .764 .098 234 .000 .002 .000 .000 .009 .000 .000 .000 .000 3. .033 .000 .000 .000 .000 .902 .967 421 .090 .009 .000 .000 .000 .000 .000 .617 .193 .029 .002 .000 .000 .000 .000 .991 .780 .341 .512 .074 .154 .007 .000 .000 .000 .000 .998 .891 .022 .001 .004 .013 .000 .000 .000 .000 1.000 1.000 .953 .983 8. .677 .274 .054 000 .000 9. .811 .425 .115 .000 .000 .000 10 1.000 1.000 1.000 1.000 994 .902 .586 212 .034 .002 .000 .000 .345 .500 11 .998 1.000 .956 .983 .732 .846 .078 .154 .006 .000 .000 12 .017 .000 .000 13 1.000 .922 .655 .788 .268 .414 .044 .002 .006 .994 .000 14 1.000 1.000 1.000 1.000 .998 .966 .098 .000 15 .885 .575 .726 1.000 1.000 .987 .189 .323 .017 .047 .000 16 1.000 1.000 .996 .946 .000 17 1.000 1.000 1.000 .999 .978 .846 .488 109 .002 .009 .033 .098 236 18 1.000 1.000 1.000 1.000 .659 1.000 1.000 .993 .926 .971 220 19 1.000 1.000 .998 .807 .383 1.000 1.000 1.000 1.000 20 1.000 1.000 1.000 1.000 .910 .967 .579 766 1.000 .991 ear All 21 1.000 .998

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.