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What is the probability of reaching into the bin and getting a 4- inch nail? What is the probability of getting a 5- inch nail?
Each second a particle, which was initially at x = 0, jumps either left or right (each with probability 1/2) a distance a. At time tn = n the particle is at location xk = ka with probability P(n,k).
A group of engineering graduates took the licensure exam. 26% of them are females and 74% are males. 83% of these graduates passed the exam.
In an effort to estimate the mean amount spent per customer for dinner at a major Atlanta restaurant, data were collected for a sample of 49 customers. Assume a population standard deviation of $5.
If a graduate is randomly selected, what is the probability that the person is a male or successfully passed the exam?
Ten cups of soup are brought with results of a mean of 5.93 ounces and a standard deviation of 0.13 ounces. How large a sample of soups would we need to be 95% confident that the sample mean is with
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year.
A researcher has constructed an 80% confidence interval of u=45+- 8, using a sample of n = 25 scores. What would happen to the width of the interval if the reseracher had used a larger sample size? a
Messages arrive to a computer server according to a Poisson distribution with a mean rate of 10 per hour. Determine the length of an interval of time such that the probability that no messages arriv
A researcher obtains a sample from an unknown population and computes a sample mean of M = 43 with a standard deviation of s = 6. If the sample has n = 16 scores, compute an 80% confidence interval
Company has 80 employees with salaries summarized in the frequency distribution table. Find the standard deviation
Why cant we solve the problem in the question before by using the normal approximation to the binomial distribution. Would it be unusual to get 8 left-handed people in a randomly selected group of 50
On a grid of 8 x 11, how many different ways are there to create a work of art filling each coordinate with either a C, M, P, or S where the C can be at brightness level 1, 2, or 3, but the M, P, an
Four missiles are fired at a target. If the probabilities of hitting the target are 0.3, 0.4, 0.5 and 0.6 respectively and if the missiles are fired independently then what will be the probability
The length of time necessary to tune up a car is exponentially distributed with a mean of 0.5 hour. If two cars are waiting for a tune-up and the service time are independent, what is the probabilit
If you reject the null hypothesis in favor of the alternative hypothesis, does your test prove that the alternative hypothesis must be true? please explain.
A sample of size 1 is drawn from the uniform pdf defined over the interval [0,θ]. Find an unbiased estimator for θ^2. (Hint: is θ(hat)=Y^2 unbiased?)
Scores on an exam follow an approximately bell shaped distribution with a mean of 77.7 and a standard deviation of 5.9 points. Approximately, what percentage of the data is between 71.8 points and 8
A sea turtle researcher is recording the number of new nest sites each night during the nesting season. He is interested in examining the center,shape, spread and outliers of the data. What would be
Scores on an exam follow an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. Approximately, what percentage of the data is between 64.2 points and 8
The exponential pdf is a measure of lifetimes of devices that do not age. However, the exponential pdf is a special case of the Weibull distribution, which measures time to failure of devices where
Let A denote the event that stream a is polluted and B denote the event stream b is polluted. From measurements taken last year it was determined that Probability of A is 0.5, Probability of B is 0
A random sample of n = 64 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. Give the mean and standard deviation of the (repeated) sampling distributi
An urn contains six chips numbered 1 through 6. Three are drawn out. What outcomes are in the event "Second smallest chip is a 3"?Assume that the order of the chips is irrelevant.
Compute a 95% confidence interval to see if there is evidence that the proportion of women hired as editorial staff was higher in 1994 than in 1990.