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Show that the distribution of a random variable X with possible values 0, 1, and 2 is determined by µ1 = E(X) and µ2 = E(X2), by finding a formula for P(X = x) in terms of µ2, x = 0, 1, 2.
Tony Hsieh is CEO of e-tailer Zappos.com. His company sells shoes online. It differentiates itself by its selection of shoes and a devotion to customer service.
The system of Figure CDP4.1 uses a controller Gc(t) = Ka. Determine the value of Ka so that the phase margin is 70°. Plot the response of this system to a step input.
Ben wants to custom order 5 collars for his 5 unique cats. A customer ordered collar is tailor fitted to a pet and comes in a choice of 5 different colors. How many selections of collars for the 5 cats are possible if repetitions of colors are allo..
If the customer starts with $4 and wants to maximize the chances of finishing with at least $7 after two rounds, how much should be bet on each round?
Now increase the variation within the groups by dragging the mark on the standard deviation scale to the right. Describe what happens to the F statistic and the P-value. Explain why this happens.
A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan.
What are the advantages of a sufficient statistic? Can you think of a possible disadvantage of sufficiency?- Why is consistency an important property?
oh reports that it takes construction workers a mean time of 32 hours and a standard deviation time of 2 hours to
1. A new employee is supposed to be sorting coated lenses into one of three bins: ship, rework, or scrap. However, this employee was not well trained and sorts 50 lenses by randomly putting each lens in one of the three bins.
Let X r~Geometric(?) and Y r Geometric(?2), with X and Y chosen independently. Compute P (X= Y). Explain what this probability is in terms of coin tossing.
Construct a scatter plot and calculate the slope and intercept in this problem
in the formula for a variance what is the sum if we dont square the x-u values? hint there is a special name for this
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