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Weights of pennies. The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation of 0.03 grams.
(a) What is the probability that a randomly chosen penny weighs less than 2.4 grams?
(b) Describe the sampling distribution of the mean weight of 10 randomly chosen pennies.
(c) What is the probability that the mean weight of 10 pennies is less than 2.4 grams?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from (a) and (c) if the weights of pennies had a skewed distribution?
give an example of a non-mathematical algorithm that you use or have seen used to complete a task. discuss the
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Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
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How can we quickly determine whether a positive integer is prime, if we are willing to accept a small probability of making an error?
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
QUALITY CONTROL A sample of three transistors taken from a local electronics store was examined to determine whether the transistors were defective.
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31
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