About 90% of Americans over 25 years of age have finished high school. For a randomly selected sample of 15 citizens over 25 years of age and the discrete random variable, x = Americans in this group with high school education, answer the following questions. Calculate the mean and standard deviation of the binomial distribution. Using the binomial distribution tables, determine the probability that x will be exactly 10 Americans that have completed high school. Using the binomial distribution tables, determine the probability that x will be at least 7 but no more than 11 Americans.
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.
About 90% of Americans over 25 years of age have finished high school. For a randomly selected sample of 15 citizens over 25 years of age and the discrete random variable, x = Americans in this group with high school education, answer the following questions.
- Calculate the
mean and standard deviation of the binomial distribution. - Using the binomial distribution tables, determine the
probability that x will be exactly 10 Americans that have completed high school. - Using the binomial distribution tables, determine the probability that x will be at least 7 but no more than 11 Americans.
- Repeat question b using the normal approximation to the binomial distribution.
- Repeat question c using the normal approximation to the binomial distribution.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
