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A Professor gives tests that are either hard, medium, or easy. If she gives a hard test, her next test will be either medium or easy, with equal probability. However, if she gives a medium or easy test, there is a 0.5 probability that her next test will be of the same difficulty and a 0.25 probability for each of the other two levels of difficulty. Construct an appropriate Markov chain and find the steady-state probabilities.
consider the uniform rectangular distribution on the space a b wherea lt b with p.d.f. fx 1 b - a a ltx lt ba obtain
2 cards drawn from a 52 but before the second card is drawn you put the first one back and reshuffle the deck. Are the outcomes on the two cards independent and why?
The probability that home sales will increase in the next 6 months is 0.25. The probability that the interest rates on loans will go up in the same period is estimated to be 0.74.
The average number of unoccupied seats was calculated? How large should the sample have been if a margin of error of 0.25 seats was desired?
Let"s consider the very large database of individual incomes from the Bureau of Labor Statistics as our population. It is strongly right skewed. How large a sample size?
a researcher uses a repeated-measures design to compare individuals performance before treatment with their performance
What is the Bonferroni adjustment? What would the Bonferroni adjustment be for a study with four groups for which a researcher decided to use t-tests?
What percentage of architects have Z scores (a) above .10, (b) below .10, (c) above .20, (d) below .20, (e) above 1.10, (f) below 1.10, (g) above -.10, (h) below -.10?
What is the probability that the sample proportion,p^ , will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤p^ ≤ 0.48}?
Using the .02 level of significance, conduct a five-step hypothesis testing procedure to determine if the new processes significantly reduced the wait time.
A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat.
Based on long term experience, the standard deviation can be taken to be $2.92. Find a 90% confidence interval for the average amount left by all groups.
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