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A unit has three modes, i.e. good (State 1), degraded (State 2) and failed (State 3). The unit can still function in the degraded state. The transition rate from the good to the degraded state is λ 12=0.3/hr and the transition rate from degraded to failed state is λ23=0.2/hr. There is no repair.
a) Write down the differential equations which describe the probabilistic behavior of the unit in time as a Markov process.
b) Find the reliability function for the unit.
c) Find the probability that the unit fails during the first 10 hr of operation.
A machine fills containers with a mean weight per container of 16oz. If no more than 5% of the containers are to weigh less than 15.8oz, what must the standard deviation of weights equal?
Of the adults in Jefferson County, 10% have had CPR training
Construct a 90 percent confidence interval for the true mean weight. Describe factors which might cause variation in the weight of Tootsie Rolls during manufacture.
Scores on the Math Achievement Test form a normal distribution with a mean of u = 300 and a standard deviation of a = 100. What score separates the top 10% of the distribution from the rest.
The ANOVA procedure is a statistical approach for determining whether or not:
Find out the p-value associated with test of hypothesis you conducted?
Find the alternative would be chosen according to expected value and utility.
If a six appears for the third time, the turn of the player ends without moving the token. Determine the sample space of one such throw and determine the probability for each event.
The mean television viewing time for Americans is 15 hours per week (Money, November 2003). Assume a sample of 60 Americans is taken to further investigate viewing habits. Suppose the population standard deviation for weekly viewing time is Q = 4..
Estimate the population mean
What is the probability that all 3 would iPods from best buy? Or at least one would have iPod from best buy?
Make a decision regarding the null hypothesis based on the sample information. Interpret the results of the test and state your conclusion.
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