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Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. In other words, backup systems are included with many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given component and thus the entire vehicle.
For example, consider one particular component of the US space shuttle that has n duplicated systems (ie. one original system and n - 1 backup systems). Each of these systems functions independently of the others, with probability of 0.98. This shuttle component functions successfully provided that at least one of the n systems functions properly.
a. Find the probability that this shuttle component functions successfully if n = 2.
b. Find the probability that this shuttle component functions successfully if n = 4.
See if there is a difference in their means and variances.
What does analysis of variance mean? One of the students answers this question as follows:
How can you or your department decide whether or not the variation is important? How could using a mean difference test help?
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7 grams of fat per pound.
What critical value should the company officials use to determine the rejection region?
In a certain state, an appeals court consists of seven judges. For a routine case, three judges are chosen at random as a panel to hear a case and render a decision. How many distinct panels can be formed?
The lapping process, which is used to grind certain silicon wafers to the proper thickness, is acceptable only if 'sigma', the population standard deviation of the thickness of dice cut from the wafers, is at most 0.50 mil.
Why do you think it is significant to describe both the measure of central tendency and the measure of dispersion when talking about a data set?
Locate the results of a recent survey in a newspaper, magazine, or Internet article. Outline the survey data so that your peers can understand the variables and results, and then identify at least one key formula from this Module that you could us..
A Starbucks manager decides to study waiting times of customers for service at the lunch time rush hour 1100-1200. He observes three customers to measure the time the customer enters the line to the time he or she reaches the counter.
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is.
In a clinical study of an allergy drug, 108 of the 203 subjects reported experiencing significant relief from their symptoms. Using a significance level of .01, test the claim that more than half of all those using the drug experienced relief.
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