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Markov Chain with transition matrix:
[ 1/phi 1-1/phi 0 00 1-1/phi phi 00 0 0 10 0 0.5 0.5]
where phi = golden ratio
What is the long-term fraction of time the chain spends in each of the states?
Answer must be gotten without a calculator.
How would you use the "margin of error" in estimating the percentage of all adults who think that Venetian blinds are the hardest to clean?
Identifying H0and Hr in ex 5-12 , examine the given statement , then express the null hypothesis H0 and alternative hypothesis H1 in symbolic form.
Clearly identify the independent and dependent variables you would study. Determine whether an independent-samples or related-samples t test is most appropriate and why. Generate the statistical null and alternative hypotheses.
Plot stem-and-leaf plot and boxplot for Mtotal. Illustrate hand calculation of median location and upper hinge location of boxplot, and determine their corresponding data values.
Assume the population is normally distributed, the confidence level is 95%, n = 12, and σ is unknown.
What is the probability that of today's 1,100 callers at least 5 received a busy signal? Use the poisson approximation to the binomial.
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
A manufacturer claims that he makes light bulbs each of which has a 0.9 probability of operating successfully when plugged in.
The level of significance selected is 0.01 and 26 accounts are sampled. What is the critical value? Based on a sample size of 25?
An issue that faces individuals investing for retirement is allocating assets among different investment choices. A study conducted 10 years ago showed that 65% of investors preferred stocks to real estate as an investment.
One of 4 bus drivers is also arbitarily selected. Let Y denote number of students on his bus. Calculate the expectations of X and Y.
Calculate the mean, median and mode for both sets and do graph/histogram to chart the results and conclude if indeed one set of year had more the other as far a snowfall.
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