3- Independence is a stronger condition that uncorrelated- Recall that.docx
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3. Independence is a stronger condition that uncorrelated: Recall that X , Y are called uncorrelated if E ( X Y ) = E ( X ) E ( Y ) ; they are called independent if P ( X = x , Y = y ) = P ( X = x ) P ( Y = y ) for all x , y . Let X have a Bernoulli ( 1/2 ) distribution; P ( X = 1 ) = P ( X = 0 ) = 1/2 . Let Z have the distribution P ( Z = 1 ) = P ( Z = 1 ) = 1/2 . Let Y = XZ . Show that X and Y are not independent but are uncorrelated. .
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2. Pegged exchange rate systems A country may find it difficult to maintain a pegged exchange rate system in the face of economic conditions. True or False: Under the European Monetary System (EMS), member countries were forced to have different interest rates in order to maintain the exchange rate mechanism (ERM). True False
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3. Select the correct answer In upper motor neuron disorders, the signs of disease are to the side of injury (ipsilateral contralateral) and result in (spastic or flaccid) paralysis and (hyper or hypo) reflexi In lower motor neuron disorders, the signs of disease are (ipsilateral or contralateral) to side of injury and result in (spastic or flaccid) paralysis and (hyper or hypo) reflexi: 4. What is the difference between a TIA and a stroke? 5. What are the risk factors and warning signs of a stroke?
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3. Let 0 < s < t . (i) Compute Cov ( W s , W t ) ; (ii) What is the distribution of a W s + b W t , where a and b are some constants?
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2. Magnification: The enlargement of the linear fiamerter of an abject. Fill in the blanks: 3. Define the following terns: Refraction index of glass and oil Parfoeal Darkfield Brightfield Total Magnification Resolution Relationship of magnification and field of vision (size) * Numerical Aperture (NA) of a microscope objective is a measure of it's ability gather light and resolve fine detail. The NA is engraved in each objective.
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