Binomial Table for n=2, n=3, n=4, n=5 and n=6

Binomial Table for n=2, n=3, n=4, n=5 and n=6 One important discrete random variable is a binomial random variable. The distribution of this type of variable, referred to as the binomial distribution, is completely determined by two parameters: n   and p.   Here n is the number of trials and p is the probability of success. The tables below are for n 2, 3, 4, 5 and 6. The probabilities in each are rounded to three decimal places. Before using the table, it is important to determine if a binomial distribution should be used. In order to use this type of distribution, we must make sure that the following conditions are met: We have a finite number of observations or trials.The outcome of teach trial can be classified as either a success or a failure.The probability of success remains constant.The observations are independent of one another. The binomial distribution gives the probability of r successes in an experiment with a total of n independent trials, each having probability of success p.  Ã‚   Probabilities are calculated by the formula C(n, r)pr(1 - p)n - r where C(n, r) is the formula for combinations. Each entry in the table is arranged by the values of p and of r.   There is a different table for each value of n.   Other Tables For other binomial distribution tables: n 7 to 9, n 10 to 11.   For situations in which np  and n(1 - p) are greater than or equal to 10, we can use the normal approximation to the binomial distribution.   In this case, the approximation is very good and does not require the calculation of binomial coefficients.   This provides a great advantage because these binomial calculations can be quite involved. Example To see how to use the table, we will consider the following example from genetics.   Suppose that we are interested in studying the offspring of two parents who we know both have a recessive and dominant gene.   The probability that an offspring will inherit two copies of the recessive gene (and hence have the recessive trait) is 1/4.   Suppose we want to consider the probability that a certain number of children in a six-member family possesses this trait.   Let X be the number of children with this trait.   We look at the table for n 6 and the column with p 0.25, and see the following: 0.178, 0.356, 0.297, 0.132, 0.033, 0.004, 0.000 This means for our example that P(X 0) 17.8%, which is the probability that none of the children has the recessive trait.P(X 1) 35.6%, which is the probability that one of the children has the recessive trait.P(X 2) 29.7%, which is the probability that two of the children have the recessive trait.P(X 3) 13.2%, which is the probability that three of the children have the recessive trait.P(X 4) 3.3%, which is the probability that four of the children have the recessive trait.P(X 5) 0.4%, which is the probability that five of the children have the recessive trait. Tables for n2 to n6 n 2 p .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 r 0 .980 .902 .810 .723 .640 .563 .490 .423 .360 .303 .250 .203 .160 .123 .090 .063 .040 .023 .010 .002 1 .020 .095 .180 .255 .320 .375 .420 .455 .480 .495 .500 .495 .480 .455 .420 .375 .320 .255 .180 .095 2 .000 .002 .010 .023 .040 .063 .090 .123 .160 .203 .250 .303 .360 .423 .490 .563 .640 .723 .810 .902 n 3 p .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 r 0 .970 .857 .729 .614 .512 .422 .343 .275 .216 .166 .125 .091 .064 .043 .027 .016 .008 .003 .001 .000 1 .029 .135 .243 .325 .384 .422 .441 .444 .432 .408 .375 .334 .288 .239 .189 .141 .096 .057 .027 .007 2 .000 .007 .027 .057 .096 .141 .189 .239 .288 .334 .375 .408 .432 .444 .441 .422 .384 .325 .243 .135 3 .000 .000 .001 .003 .008 .016 .027 .043 .064 .091 .125 .166 .216 .275 .343 .422 .512 .614 .729 .857 n 4 p .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 r 0 .961 .815 .656 .522 .410 .316 .240 .179 .130 .092 .062 .041 .026 .015 .008 .004 .002 .001 .000 .000 1 .039 .171 .292 .368 .410 .422 .412 .384 .346 .300 .250 .200 .154 .112 .076 .047 .026 .011 .004 .000 2 .001 .014 .049 .098 .154 .211 .265 .311 .346 .368 .375 .368 .346 .311 .265 .211 .154 .098 .049 .014 3 .000 .000 .004 .011 .026 .047 .076 .112 .154 .200 .250 .300 .346 .384 .412 .422 .410 .368 .292 .171 4 .000 .000 .000 .001 .002 .004 .008 .015 .026 .041 .062 .092 .130 .179 .240 .316 .410 .522 .656 .815 n 5 p .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 r 0 .951 .774 .590 .444 .328 .237 .168 .116 .078 .050 .031 .019 .010 .005 .002 .001 .000 .000 .000 .000 1 .048 .204 .328 .392 .410 .396 .360 .312 .259 .206 .156 .113 .077 .049 .028 .015 .006 .002 .000 .000 2 .001 .021 .073 .138 .205 .264 .309 .336 .346 .337 .312 .276 .230 .181 .132 .088 .051 .024 .008 .001 3 .000 .001 .008 .024 .051 .088 .132 .181 .230 .276 .312 .337 .346 .336 .309 .264 .205 .138 .073 .021 4 .000 .000 .000 .002 .006 .015 .028 .049 .077 .113 .156 .206 .259 .312 .360 .396 .410 .392 .328 .204 5 .000 .000 .000 .000 .000 .001 .002 .005 .010 .019 .031 .050 .078 .116 .168 .237 .328 .444 .590 .774 n 6 p .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 r 0 .941 .735 .531 .377 .262 .178 .118 .075 .047 .028 .016 .008 .004 .002 .001 .000 .000 .000 .000 .000 1 .057 .232 .354 .399 .393 .356 .303 .244 .187 .136 .094 .061 .037 .020 .010 .004 .002 .000 .000 .000 2 .001 .031 .098 .176 .246 .297 .324 .328 .311 .278 .234 .186 .138 .095 .060 .033 .015 .006 .001 .000 3 .000 .002 .015 .042 .082 .132 .185 .236 .276 .303 .312 .303 .276 .236 .185 .132 .082 .042 .015 .002 4 .000 .000 .001 .006 .015 .033 .060 .095 .138 .186 .234 .278 .311 .328 .324 .297 .246 .176 .098 .031 5 .000 .000 .000 .000 .002 .004 .010 .020 .037 .061 .094 .136 .187 .244 .303 .356 .393 .399 .354 .232 6 .000 .000 .000 .000 .000 .000 .001 .002 .004 .008 .016 .028 .047 .075 .118 .178 .262 .377 .531 .735

Commedia dellArte essays

Commedia dellArte essays Drama, Commedia dellArte Assignment. Commedia dellArte, the known name for a group of professional actors who would travel together around Europe. These professional actors helped nurture and grow some of the worlds most commonly used acting styles and ideas. They defined and set the standard of skills that an actor needs to develope and use in drama. They also created succesful character personalitys, that are still used in the world of theatre in todays modern world. If it were not for these actors the standard of theatre couldve never reached the level of what it is today. The actors would travel the countryside and visit towns and perform I the Village Square. Often the play would be about political issues or problems that were currently happening in the village at that present time. But the usual topic is that of the two lovers, not being able to marry, in an epic tale of jealousy or pride, similar to that of William Shakespeares Romeo and Juliet. These Lovers were played by younger people, who did not were masks like the other characters. These masks symbolised a certain character, and their personality traits. This was used to help the audience maybe gain knowledge of what is happening and understand the story better, by the way one character might seem vein and self indulgent because of his stride and speech. Which would work with his large nose to show that he is not what he thinks he is, but still sees himself above the common person. Commedia dellArte, is seen as possibly being one of the most successful types of theatre that has been put together, with the right number of characters with the right amount of range in their personalitys to cook up many multiple performances of which to entertain people. Many performing artists similar to that of Commedia dellArte, have shown their similarities and skill in using character traits and personalitys to crea ...