1. Suppose that a couple will have three children. Let B represent a boy and let G represent a girl. Draw a tree diagram depicting the sample space outcomes for this experiment.
a. Explain what it means for two events to be mutually exclusive.
b. Explain what it means for two events to be independent.
c. Explain the purpose of Bayes Theorem.
d. Explain how the values of a discrete random variable differ from the values of a continuous random variable.
e. Classify each of the following random variables as discrete or continuous.
a. X = the number of girls born to a couple with three children
b. X = the number of defects found on a car at a final inspection
c. X = the number of incorrect lab procedures conducted at a hospital during a given week
d. X = the time needed by a clerk to complete a task
e. X = the temperature of a pizza at a given time
7. List and explain the characteristics of a binomial experiment
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