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In a particular system containing three components the probability of meeting specification for components 1, 2, and 3, respectively, are 0.95, 0.99, and 0.92. What is the probability that the entir
What is the probability that between 482 and 510, inclusive, of the next 1000 randomly selected Valium users from this state would be white-collar workers?
The population proportion is .30. What is the probability that a sample proportion will be within .04 of the population proportion for each of the following sample sizes?
Computer response time is an important application of the gamma and exponential distributions. Suppose that a study of a certain computer system reveals that the response time, in seconds, has an ex
A telemarketing company has a special letter opening machine that opens and removes the contents of an envelope. If the envelope is fed improperly into the machine, the contents of the envelope may
Comment on the utility of the resin. How often would its performance be considered undesirable? Assume that time to bonding is normally distributed.
What is the probability that a manufactured batch will have a yield that exceeds 80% when in fact the mean yield is 79%?
Develop a decision analysis formulation of this problem if the single item is not inspected in advance. Obtain an optimal policy for this model.
The standard deviation is 500 oranges. Sales follow a normal distribution. what is the probability that sales will be less than 4,300 oranges.
In a human factor experimental project, it has been determined that the reaction time of a pilot to a visual stimulus is normally distributed with a mean of 1/2 second and standard deviation of 2/5
Warren Buffy is an enormously wealthy investor who has built his fortune through his legendary investing acumen. He currently has been offered three major investments and would like to choose one.
In a biomedical research activity it was determined that the survival time, in weeks, of an animal when subjected to a certain exposure of gamma radiation has a gamma distribution with a =5 and 3 =1
We generally see a similar type of analysis performed in quality control operations, particularly in manufacturing. Can you think of any other examples?
In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean µ = 6 and variance a2 = 12.
If 20% of the residents in a U.S. city prefer a white telephone over any other color available, what is the probability that among the next 1000 telephones installed in that city
A final exam in math 160 has a mean of 73 with a standard deviation of 7.8. What is the mean of the sampling distribution of the means of samples of size 40?
Given a standard normal distribution, find the area under the curve which lies
Are the events picking a red car and picking an Ace disjoint? Why or why not? What is the probability of rolling an even number on a die with the number 1, 4, 6, 7, 8, and 12 on the sides?
Suppose that the service life, in years, of a hearing aid battery is a random variable having a Weibull distribution with a = 1/2 and ß = 2.
The manufacturer replaces free all motors that fail while under guarantee. If he is willing to replace only 3% of the motors that fail, how long a guarantee should he offer? Assume that the lifetime
Calculate the probability that at least three kidney transplant claims will arrive between January 1, 2012 and March 1, 2012.
Determining sample-size is important step when planning a statistical study. It is also quite a difficult task since many variables must be considered.
In the November 1990 issue of Chemical Engineering Progress, a study discussed the percent purity of oxygen from a certain supplier. Assume that the mean was 99.61 with a standard deviation of 0.08.
She wants to be 90% confident that her estimate is correct. If the standard deviation is 5.07, how large is the sample is needed to get the desired information to be accurate within 0.66 decibels
The Wechsler IQ test has a normal shape with μ=100 and σ=15. If you take a random sample of n=144 students, what is the probability that the sample mean will be between 10