During a the 2017 soccer season, goalie Mia has 80% success rate at stopping opponents attempted shots. Suppose her opponents took a total of 50 shots on goal that Mia tries to save all season. Assume that all goals are independent of the others. (a) What are the expected number of goals made by Mia's opponents and the standard deviation of the expected number of goal made? (b) What is the probability that 10 or more goals are scored during a season that are not saved by Mia?
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 a the 2017 soccer season, goalie Mia has 80% success rate at stopping opponents attempted shots.
Suppose her opponents took a total of 50 shots on goal that Mia tries to save all season. Assume that all goals are independent of the others.
(a) What are the expected number of goals made by Mia's opponents and the standard deviation of the expected number of goal made?
(b) What is the probability that 10 or more goals are scored during a season that are not saved by Mia?
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