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Problem: On average, it requires 30 minutes for commuters to get to work in LA area. Assuming a normal distribution with a standard deviation of 5 minutes and a randomly selected commuter, Veronica.
Required:
Question 1: What is the probability that Veronica's commute time to work today is between 29 and 33 minutes?
Question 2: What commute time will be exceeds on only 10% of Veronica's working days?
The time between customer arrivals at a bank has an exponential distribution with a mean time between arrivals of three minutes. If a customer just arrived, what is the probability that another customer will not arrive for at least two minutes?
If the mean score on the exam was 81 and the mean of the 19 readable scores is 85?, what is the value of the unreadable? score?
An aircraft company is considering using a new light-weight fastener, called the Superlight, to rivet certain sheet metal parts together.
Why is it important to look at dispersion? Why is standard deviation a better measure of dispersion than the range?
What are the requirements that must be met for a regression analysis? What happens if these requirements are violated? Why is the analysis of residuals important?
Suppose that the random variables X and Y are independent and that each has a standard normal distribution. Show that the quotient X/Y has a Cauchy distribution
the scholastic aptitude test sat is standardized to be normally distributed with a population mean of 500. a parent is
If the store manager does advertise more, what is the probability that revenue will not increase? -What is the probability of not advertising more and revenue increasing?
In testing a new drug, researchers found that 20% of all patients using it will have a mild side effect. A random sample of 15 patients using the drug is selected. Find the probability that:
According to the test, their IQ scores are 120, 108, 135, 98 and 110. What is the sum of squares of the deviations of their IQ scores
(Simulated Annealing) In the context of simulated annealing, assume that T is kept constant and let pxy be the probability that when the current solution is x, the next solution sampled is y.
question 1 the temperature in january is estimated to have a mean of 34 and a standard deviation of 6 in degrees
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