During an episode of tonight show, a talk show host related "The birthday problem " to the audience noting that in a group of 50 or more people, probablists have calculated that the probability of atleast 2 people having the same birthday is very high. To illustrate this point he proceeded to conduct his own experiment. A person selected at random from the audience was asked to state his birthday. The host then adked whether anyone in the audience had the same birthday. The response was negative. He repeated the experiment. Once again the response was negative. These results observed the host,were contrary to expectations. In a later episode of the show, the host explained why the experiment had been improperly conducted. Explain why the host failed to illustrate the point he was trying to make in the earlier episode
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.
During an episode of tonight show, a talk show host related "The birthday problem " to the audience noting that in a group of 50 or more people, probablists have calculated that the probability of atleast 2 people having the same birthday is very high. To illustrate this point he proceeded to conduct his own experiment. A person selected at random from the audience was asked to state his birthday. The host then adked whether anyone in the audience had the same birthday. The response was negative. He repeated the experiment. Once again the response was negative. These results observed the host,were contrary to expectations. In a later episode of the show, the host explained why the experiment had been improperly conducted. Explain why the host failed to illustrate the point he was trying to make in the earlier episode
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