Normal distribution to approximate a binomial distribution
For the following conditions, determine if it is appropriate to use the normal distribution to approximate a binomial distribution with n=38 and p=0.3. Explain your answer.
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How many mL of 0.2 M sodium acetate should be added to 200 mLof 0.1 M acetic acid to make a buffer of pH 5? What will the total concentration of acetate be in the solution (acetate + aceticacid)?
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Now derive the stress field in a cylindrical symmetric situation. Assume that the length of the cylinder is much larger than the diameter of the cylinder.
Take the potential of the negative plate to be zero. If the potential halfway between the plates is then +4.0 V, what is the electric field in the region between the plates? (Take directly towards the negative plate to be the positive direction).
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The refrigerator in a kitchen receives electrical input power of 150 W to drive the system, and it rejects 400 W to the kitchen air. Determine the rate of energy taken out of the cold space.
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