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Suppose the time it takes a data collection operator to fill out an electronic form for a database is uniformly between 1.5 and 2.2 minutes. What is the mean and variance of the time it takes an ope
How many different permutations of the word SCISSORS are there? How many permutations have all four S's together? How many permutations have 3 S's together and one separate?
Construct a scatter plot for the data. Does the relationship appear to be linear?
Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of two counts per minute.
Birth weights in the US are normally distributed with a mean of 3420g and standard deviation 495g. What is the probability that a baby will weigh 4420g?
What is the probability that a part is longer than 90.3 millimeters or shorter than 89.7 millimeters? What should the process mean be set at to obtain the greatest number of parts between 89.7 and 90.
Suppose that 76% of Americans prefer Coke to Pepsi. A sample of 80 was taken. What is the probability that at least seventy percent of the sample prefers Coke to Pepsi?
The life (in hours) of a computer processing unit (CPU) is modeled by a Weibull distribution with parameters ß = 3 and d = 900 hours.
The life (in hours) of a magnetic resonance imagining machine (MRI) is modeled by a Weibull distribution with parameters ß = 2 and d = 500 hours. Determine the mean life of the MRI.
The p-value for a one-sided test for a mean was 0.04. The p-value for the corresponding two-sided test would be?
The life of a recirculating pump follows a Weibull distribution with parameters β = 2, and δ = 700 hours. Determine the mean life of a pump.
From a box containing 4 dimes and 2 nickels, 3 coins are selected at random without replacement. Find the probability distribution for the total T of the 3 coins. Express the probability distributi
The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce.
The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the specifications require the dot diameter to be between 0.0014 and 0.0026 inc
Corn costs $0.10/lb, peanuts $0.05/lb, oats $0.15/lb, and the vitamin supplement $0.20/lb. Customers require the following criteria to be met: What is the best batch mix that optimizes total cost?
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years. What is the probability that the CPU fail
The diameters of peaches in a certain orchard are normally distributed with a mean of 4.14 inches and a standard deviation of 0.61 inches. Show all work. What percentage of the peaches in this o
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles.
He has at least ten hours of each activity to do each week, but refuses to more than twenty hours of any one of these activities to keep himself from getting bored with any one activity. How shoul
A random sample of subjects is selected and the sample mean is computed. What is the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8?
Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and to each sampl
He has at least ten hours of each activity to do each week, but refuses to more than twenty hours of any one of these activities to keep himself from getting bored with any one activity. How should
Let the number of phone calls received by a switchboard during a 5-minute interval be a random variable X with probability function
How likely is it to observe a sample mean less than or equal to 0.9075? Based on this probability, does it appear that the process mean is below target?
What is the p-value for the hypothesis test? What is your conclusion?