Language Neurological research has shown that in about80% of people, language abilities reside in the brain’s leftside. Another 10% display right-brain language centers,and the remaining 10% have two-sided language control.(The latter two groups are mainly left-handers; ScienceNews, 161 no. 24 [2002].)a) Assume that a freshman composition class contains25 randomly selected people. What’s the probabilitythat no more than 15 of them have left-brain languagecontrol?b) In a randomly chosen group of 5 of these students,what’s the probability that no one has two-sidedlanguage control?c) In the entire freshman class of 1200 students, howmany would you expect to find of each type?d) What are the mean and standard deviation of the number of these freshmen who might be right-brained in language abilities? e) If an assumption of Normality is justified, use the68–95–99.7 Rule to describe how many students in thefreshman class might have right-brain language control.

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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.