Podcast
Questions and Answers
Which type of random variable has a continuum of possible values?
Which type of random variable has a continuum of possible values?
- Nominal random variable
- Discrete random variable
- Dichotomous random variable
- Continuous random variable (correct)
What is the number of possible values for a discrete random variable?
What is the number of possible values for a discrete random variable?
- Countable (correct)
- Fixed
- Uncountable
- Infinite
Which of the following is an example of a continuous random variable?
Which of the following is an example of a continuous random variable?
- Number of cars in a parking lot
- Number of pens on a desk
- Temperature of a solution (correct)
- Number of students in a class
If a die is rolled twice, what are the possible values for the random variable representing the number of times a 4 comes up?
If a die is rolled twice, what are the possible values for the random variable representing the number of times a 4 comes up?
Which of the following is an example of a discrete random variable?
Which of the following is an example of a discrete random variable?
What is the number of possible outcomes for the gender random variable?
What is the number of possible outcomes for the gender random variable?
What is the random variable of interest in the example provided?
What is the random variable of interest in the example provided?
What are the possible discrete values for the number of defectives among the sample?
What are the possible discrete values for the number of defectives among the sample?
What is the probability of having 0 defectives among the sample?
What is the probability of having 0 defectives among the sample?
How is the probability of having 1 defective unit calculated?
How is the probability of having 1 defective unit calculated?
What does the counting rule for combinations help in counting?
What does the counting rule for combinations help in counting?
What is the sample size used in the example provided?
What is the sample size used in the example provided?
What happens to the skewness of the binomial distribution when n is small and p approaches 0 or 1?
What happens to the skewness of the binomial distribution when n is small and p approaches 0 or 1?
When does the binomial distribution become more bell-shaped?
When does the binomial distribution become more bell-shaped?
What characteristic defines situations where the Poisson distribution is used instead of the binomial distribution?
What characteristic defines situations where the Poisson distribution is used instead of the binomial distribution?
What is the average number of outcomes of interest per unit time or space interval in a Poisson Distribution?
What is the average number of outcomes of interest per unit time or space interval in a Poisson Distribution?
In a Poisson Distribution, how are the number of outcomes of interest treated?
In a Poisson Distribution, how are the number of outcomes of interest treated?
What does the Poisson Distribution Formula represent?
What does the Poisson Distribution Formula represent?
What is a condition for the binomial distribution to apply to the situation described in the text?
What is a condition for the binomial distribution to apply to the situation described in the text?
What is considered a 'success' in the context of the binomial distribution for Household Security?
What is considered a 'success' in the context of the binomial distribution for Household Security?
Why is it crucial for each security unit to be designed and made in the same way for the binomial distribution to apply?
Why is it crucial for each security unit to be designed and made in the same way for the binomial distribution to apply?
What happens if a unit has either a design or production problem according to the text?
What happens if a unit has either a design or production problem according to the text?
What percentage of security units at Household Security are expected to have problems requiring more than one day to install when operating at standard quality?
What percentage of security units at Household Security are expected to have problems requiring more than one day to install when operating at standard quality?
Why does the probability of a defective unit need to remain constant from unit to unit for the binomial distribution to be applicable?
Why does the probability of a defective unit need to remain constant from unit to unit for the binomial distribution to be applicable?
What does 𝜇 represent in the context of the Poisson Distribution formula?
What does 𝜇 represent in the context of the Poisson Distribution formula?
If the average number of arrivals at Whole Foods per hour is 16, what is the expected number of arrivals in a 2-hour segment?
If the average number of arrivals at Whole Foods per hour is 16, what is the expected number of arrivals in a 2-hour segment?
What is the probability of 15 arrivals at Mercy Hospital's emergency room in an hour if the average rate is 6 per hour?
What is the probability of 15 arrivals at Mercy Hospital's emergency room in an hour if the average rate is 6 per hour?
In the Poisson Distribution formula, what does x represent?
In the Poisson Distribution formula, what does x represent?
If the average arrival rate at Whole Foods is 10 per hour, what is the probability of exactly 8 arrivals in 45 minutes?
If the average arrival rate at Whole Foods is 10 per hour, what is the probability of exactly 8 arrivals in 45 minutes?
What happens to the Poisson probability as the number of arrivals increases above the mean number of occurrences?
What happens to the Poisson probability as the number of arrivals increases above the mean number of occurrences?
