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The following probability distribution table is for the random variable, x, the number of computers in a household. Show all work to answer the following questions.
x P(x)
0 0.12
1 0.25
2 0.30
3 0.28
4 0.05
(a) Determine the mean of x.
(b) Determine the standard deviation of x.
Show all work and round all answers to two decimal places.
What is the probability that a five-card poker hand (unordered) has four aces, if we know that a four of spades was dealt?
We can represent a set as a list of distinct elements, and we can represent the set of all subsets of the set as a list of lists. For example, if the set is (1 2 3), then the set of all subsets is (() (3) (2) (2 3) (1) (1 3) (1 2) (1 2 3)).
White blood cell counts are helpful for assessing liver disease, radiation, bone marrow failure, and infectious diseases. Listed below are recorded white blood cell counts.
Consider a 20-cm by 10-cm rectangle. If both dimensions have a standard deviation of 0.1 cm. What is the standard deviation of the area of the rectangle?
Two towers are constructed, each by stacking 30 segments of concrete vertically. The height (in inches) of a randomly selected segment is uniformly distributed.
Let n be number of documents in (millions) labeled as classified in year that is t years since 2000. Determine the equation of linear model to explain the data.
City buses arrive at a certain street corner, between 5 a.m. and 11 p.m., according to a Poisson process with rate λ = 4 per hour. Let T1 be the waiting time, in minutes, until the first bus (after 5 a.m.), and let M be the total number of buses be..
Determine the probability of Mr. Hood's hitting the target. - Determine the probability of Mr. Hood's hitting the bull's-eye.
Write a critique of the article. What is the purpose and design of the survey? What is the goal of the analysis? How do the authors use information.
Describe the different phases of group development. Provide an example of a situation for each phase.
The researchers found that 69 of the 172 sampled streams had a substrate of shale. Construct a 95% confidence interval for the proportion of Adirondack streams with a shale substrate. Clearly interpret your interval in this context.
Do you benefit by using a cum sum chart rather than a control chart?
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