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The lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 400 hours.
Let et~WN. Consider two time series models: Model A: (1+1.3B+0.65B*2(raised to the second power) + 0.325B*3 + 1.625B*4 + 0.05B*5)Y t= et Model B: (1+0.8B)Y t= (1-0.5b)et. a) Find the 'greek letter p
The line width of for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer.
Suppose that the random variable Y is an observation from a normal distribution with unknown mean μ and variance 1. Find a 95% lower confidence limit for μ.
Show that its autocorrelation function (acf) satisfies the equation: ' greek letter rho'k + 'greek letter rho'k-1+0.6'greek letter rho'k-2=0, k greater or equel 2
A random committee of size 3 is selected from 4 doctors and 2 nurses. Write a formula for the probability distribution of the random variable X representing the number of doctors on the committee.
A traffic control engineer reports that. 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles arc from out of
According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white offspring in the ratio 8:4:4. Find the probability that among 8 offspring 5 will be red, 2 black,
a) Compute the mean of Xt b) Compute the variance of Xt c) Find the correlation between Xt and et-1
Given: P(A)=0.25, P(B)=0.50, P(AB)=0.12, P(ABc) = 0.13, P(AcB)=0.38, P(AcBc)=0.37. Express the following events in set notation and find their probablities.
Assume that a set of test scores is normally distributed with a mean of 78 and a standard diviation of 10. What percentage of scores lie between 78 and 97?
Hello, I need your help to write 4 pages long (essay format) about how did we identify a business problem, develop hypotheses, collect and analyze data, and report on recommendations resulting from
A batch of 20 used automobile alternators contains 4 defectives. If 3 alternators are sampled at random, find the probability of the event.
The percentage of people exposed to a bacteria who become ill is 20%. Assume that people are independent. Assume that 1000 people are exposed to the bacteria. Approximate each of the following:
Two are chosen at random and their numbers are added together. What is the probability that the resulting sum is equal to 5?
The probability density function of the time required to complete an assembly operation is for seconds.
Compute a 99% confidence interval for the population mean, based on the sample 52, 50, 51, 54, 55, 52 and 53.
The probability density function of the length of a metal rod is f(x) =2 for 2.3 < x="">< 2.8="">
The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x="">< 50.25=""> Determine the probability that a package weighs m
Rolling a pair of fair die 10 times and recording the number of times we get a 7. What is the probability of rolling exactly 3 sevens?
(A) Formulate and solve an Linear Programming model for this case. (B) Evaluate the prospect of borrowing money before the first game.
Compare and contrast internal and external validity. Describe and give examples of research questions for which external validity is a primary concern.
A standard deck of cards contains 52 cards. One card is selected from the deck. Compute the probability of randomly selecting a seven or ace.
If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities.
In a study on the health and development of a bird species, Yellow Robin, two different sites were compared: one in The Dandenong Ranges (East of Melbourne) and another in the drier area of the Gra