If one survey response was randomly selected, what is the probability that it was given by a female?
If two responses were randomly selected, one at a time, without replacement, what is the probability that both were given by a male?
What is the probability that a selection was over 64 dollars, given that it was a response from a female?
What is the probability that a single random selection was over 64 dollars no matter if a male or a female made the selection?
Search the internet for an article published in the last 18 months on how businesses use probability. Provide the title, author, and the URL. Provide a two-sentence summary of how probability is used in business.
- 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.
- Explain what it means for two events to be mutually exclusive.
- Explain what it means for two events to be independent.
- Explain the purpose of Bayes’ Theorem.
- Explain how the values of a discrete random variable differ from the values of a continuous random variable.
- 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
- List and explain the characteristics of a binomial experiment
Sample Solution