Considering a success in a given case to be “a cure”, formulate the process of observing which children are cured and which children are not cured as a sequence of four Bernoulli trials. How many outcomes are there in which exactly two of the four children are cured? List the outcomes in 2. What is the probability that exactly three of the four children will be cured? Write an equation in Excel using the binomial formula to find the probability that exactly two children will be cured. Obtain the probability distribution of the random variable X, the number of children out of four who are cured, using technology.
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.
Pinworm infestation, commonly found in children, can be treated with the drug pyrantel pamoate. According to the Merck Manual, the treatment is effective in 90% of cases. Suppose that four children with pinworm infestation are given pyrantel pamoate.
- Considering a success in a given case to be “a cure”, formulate the process of observing which children are cured and which children are not cured as a sequence of four Bernoulli trials.
- How many outcomes are there in which exactly two of the four children are cured?
- List the outcomes in 2.
- What is the
probability that exactly three of the four children will be cured? - Write an equation in Excel using the binomial formula to find the probability that exactly two children will be cured.
- Obtain the probability distribution of the random variable X, the number of children out of four who are cured, using technology.
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