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a. Given the normally distributed random variable x with σ=5 and P(x ≥ 25) = .0526 find μ.
b. Given the normally distributed random variable x with μ=25 and P(x ≤ 10) = .0778 find σ.
c. Given the normally distributed random variable x with μ=30 and P(x ≤ 50) = .9772 find σ
iven an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations taken at random from this population exceeds 78 is?
Repeat construction of the optimal ?lter from Example 7.3.1 in the case when the useful signal Y (t)has a more general power spectrum a SY (f ) = b2 + f 2 , and the uncorrelated white noise N(t) has arbitrary power spectrum SN (f ) ≡ N .
A pair of random variables is uniformly distributed over the ellipse- Find the marginal PDFs. - Find the conditional PDFs,
what does bivariate normal distribution mean? explain in words or illustrate with a
Write a main effects model to relate E(y) to packaging and location. What implicit assumption are we making about the interrelationships between sales, packaging, and location when we use this model?
1.crop researchers plant 100 plots with a new variety of corn. the average yield for these plots is x 130 bushels per
Which is more likely to occur-more than 60% correct identifications in the sample of 200 or more than 55% correct identifications in a sample of 1,000? Explain.
A standard die has its faces painted different colors. Faces3,4,6 are red, faces 2 and 5 are black and face 1 is white.
If the sample mean and 20% trimmed mean are nearly identical, it might be thought that for future studies, it will make little difference which measure of location is used. Comment on why this is not necessarily the case.
a. According to chebyshev's Theorem, what proportion (percent) of the customers spend between 3.30 minutes and 9.70 minutes at the station? b. According to the Empirical Rule, what proportion of the customers pump between 8.00 gallons and 11.00 gal..
Finding Expected Mean and Standard Deviation
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