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(1) A local ice-cream store receives an average of 3 customers per hour. Assume that the arrival events are well described by Poisson distribution. The cashier wants to leave the store to run an errand. The manager computes the expected time T between the arrivals of consecutive customers over the previous week and allows the cashier to leave the store for a duration T. How long does the cashier have to run his errand? Hint: If the occurrence of events is described by Poisson distribution, then the inter-event time is described by exponential distribution. (2) A basketball player can score a basket on fifth attempt, on an average. What is the probability that the player scores the third basket on the tenth attempt? Hint: Sum of geometric random variables is a negative binomial random variable. (3) A sump pump in a basement has two battery-operated back-up pumps. In the case of power outage the main sump pump shuts off and the first battery-operated back-up pump kicks in. After the battery powering the first back-up pump runs out of charge, the second battery-operated back-up pump is activated. Assume that the duration for which a battery can power its pump is described by expo- nential distribution. The variation in the time the battery lasts is due to the variation in the rate of accumulation of ground water. A battery can power its pump for 20 minutes on an average, before it runs out of charge. A certain power outage lasts an hour. What is the probability that the basement will not get flooded during the power outage? Hint: You will need to use the Gamma distribution. The integral involved is simple. Γ(n + 1) = n! if n is a non-negative integer.
The number of loads of laundry washed per month was tracked for women and men living in college dorms.
What is the correlation between pre-test scores and post-test scores? Assuming the obvious directional hypothesis (i.e., that those who score highly at pre-test tend to score highly at post-test), is the correlation statistically significant?
Binge drinking and alcohol-related behaviours amongst Pacific youth: a national survey of secondary school students
How many turnstiles must be opened in each direction every morning and describe the suppositions underlying the solution of this problem by using queuing theory.
Compute the mean and SD of the probability of the mean and determine the test statistic
Find the probability that - exactly two of the workers have been exposed to asbestos - Find the probability that exactly 15 babies are female.
Find the relation of question with some of the factors you think important as motivators of choosing the medical profession. Why do you choose these factors?
Why is it important for a security professional to know specifics about the particular target environment to which they are assigned? How can experienced security professionals prepare themselves for challenges and opportunities they have never encou..
Identify sample, population, sampling frame (if applicable), and response rate (if applicable). Describe sampling technique (if applicable) or experimental design
Perspective about the problem you are trying to analyze; in other words, you should review the literature concerning your subject. The library or the web will be a good source of information.
What is the deference between a complete factorial design and an incomplete factorial design and explain the difference between a two-way AMOVA and a three-way ANOVA.
Calculate the total tax bill for both low and high income individuals in both countries and fill in the table above with your results and what is the unemployment rate
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