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A frog hops about on 7 lily pads. The numbers next to arrows show the probabilities with which, at the next jump, he jumps to a neighbouring lily pad (and when out-going probabilities sum to less than 1 he stays where he is with the remaining probability).(a) Starting in state 1, what is the probability that we are still in state 1 after 3 steps (p(3)11)? After 5 steps (p(5)11)? Or after 1000 steps (limn→∞ p(n)11)? (b) Starting in state 4, what is the probability that we ever reach state 7? (c) Starting in state 4, how long on average does it take to reach either 3 or 7? (d) Starting in state 2, what is the long-run proportion of time spent in state 3?
How large a sample size will need to be selected if we wish to have a 99% confidence interval with a margin for error of .25 hours?
What is the probability that the drug will be effective for 2 hours or less?
Suppose that you are a reporter for a newspaper whose editor has asked you to compare the hourly wages of carpenters, plumbers, electricians.
what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99 percent reliability.
a) Compute the expected value of X and explain what this means for the player
Sample data drawn independently from normally distributed populations
A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per day. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of cats and the propor..
Using data from Boston, Massachusetts, a test of independence is run on the claim that ice cream sales per month and the number of car wrecks per month are independent. The claim is rejected.
The histogram below shows the heights of 300 randomly selected high school students. Which of the following is the best description of the shape.
Use a 0.10 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists
which of the following correlation coefficients represents the variables with the weakest degree of
Use your calculator to show that the correlation is about 0.5. What feature of the data is responsible for reducing the correlation to this value
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