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For problem 15-49, suppose that the engineer collects a second sample of 20 items and finds that 5 items are defective. Update the probability distribution of the population proportion you computed in problem 15-49 to incorporate the new information.
Problem 15-49
A quality control engineer believes that the proportion of defective items in a production process is a random variable with a probability distribution that is approximated as follows:
The engineer collects a random sample of items and finds that 5 out of the 16 items in the sample are defective. Find the engineer's posterior probability distribution of the proportion of defective items.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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