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The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 2%. The bank will make 1600 loans that are under $10,000 next month.
a. Find the mean of ^p, where ^p is the proportion of defaults on the 1600 loans under $10,000 to be made next month.
b. Find the standard deviation of ^p.
c. Compute an approximation for P(^p≥ 0.025, which is the probability that 2.5% or more of next month's loans under $10,000 will be defaulted on.
Round your answer to four decimal places.
Consider the system shown in Figure E9.33. Compute the loop transfer function L(s), and sketch the Bode plot. Determine the phase margin and gain margin when the controller gain K - 5.
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In order to halve the width of a 95% confidence interval for a mean mu, by what factor should the sample size be increased?
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Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly four third-shift workers.
Compute the mean and standard deviation for the sample data in the file Drug$.
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