Proportion of the amplifiers
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a) Compute the mean of Xt b) Compute the variance of Xt c) Find the correlation between Xt and et-1
According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white offspring in the ratio 8:4:4. Find the probability that among 8 offspring 5 will be red, 2 black, and 1 white.
A traffic control engineer reports that. 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles arc from out of state?
A random committee of size 3 is selected from 4 doctors and 2 nurses. Write a formula for the probability distribution of the random variable X representing the number of doctors on the committee. Find P(2 < x=""><>
The lifetime of an electronic amplifier is modeled as an exponential random variable. If 10% of the amplifiers have a mean of 20,000 hours and the remaining amplifiers have a mean of 50,000 hours, what proportion of the amplifiers fail before 60,0
Show that its autocorrelation function (acf) satisfies the equation: ' greek letter rho'k + 'greek letter rho'k-1+0.6'greek letter rho'k-2=0, k greater or equel 2
Suppose that the random variable Y is an observation from a normal distribution with unknown mean μ and variance 1. Find a 95% lower confidence limit for μ.
The line width of for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer.
The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10,000 and 20,000, respectively. Calculate the parameters of the lognormal distribution
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