Assume that the normal distribution can be used to approximate the following binomial distribution question.   A survey of adults found that​ 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts​ (a) and​ (b).   ​(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. ​(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33.   ​(Round to four decimal places as ​needed.)

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Q: Android Users Iphone Users Total   Ages 18 – 30 405 653 1058   Ages 31 – 40 687 538 1225…

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A:

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A: The total number of students is 1+6+5+6=18.

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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.