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The dean has observed for several years and found that the probability distribution of the salary of the alumni's first job after graduation is normal, with a mean of $50k per year and a standard deviation of $5k. Please show all work, as I want to learn this skill.
(a) What's the probability that the alumni get a salary of $45k or more in their first jobs?
(b) What's the chance that the alumni get a salary between $35k and $55k?
(c) What is the salary range that 95% of the alumni should be belonged to?
The block diagram of a feedback control system is shown in Figure P8.12 (a).The transfer functions of the blocks are represented by the frequency response curves shown in Figure P8.12 (b).
A Student takes a ten-question true/false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 70% of the questions correct. (Round your answer to three decimal pl..
a manufacturer produces two types of computer monitors monochrome and color. past sales experience shows that at least
Dropouts. One study comparing various treatments for the eating disorder anorexia nervosa initially enlisted 198 subjects, but found overall that 105 failed.
Use only six (X, Y) pairs (those corresponding to the first six lot numbers) in Table 8.1 and compute a new estimator 2 (8.38) for the asymptotic variance of (see Comment 26). Compare it with the estimator based on all nine observations obtained in ..
They were quite comfortable-that was about the median family income in 1975. How much income did they need 28 years later, in 2003.
The annual rainfall in Chennai is normally distributed with mean 129 em and standard deviation 32 em.
Using the appropriate formula for grouped data, calculate the mean number of hours in downtime. Using the appropriate formulas for grouped data, calculate the variance and the standard deviation.
It has been determined that the mean life is 1000 hours and the standard deviation is 50 hours. It can be concluded that at least 89% of the bulbs will last between?
The listeners do not know which is playing, and the order has been determined randomly. Each person is asked to state which of the two performances he or she prefers. What statistical test is most appropriate here? Why?
1. Write a general Metropolis or Metropolis-Hastings algorithm to generate a sample from a target distribution π, where π(x) ∝ x34(1 - x)38(2 + x)125. Use the proposal density as q(x, y) = 1 on the interval [0, 1].
If a set of paired data gives the indication that the regression equation is of the form μY|x = α · βx, it is customary to estimate α and β by fitting the line
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