The weight of coffee in a jar is normally distributed with w…

The weight of coffee in a jar is normally distributed with with mean of 232 grams and standard deviation of 6 grams. What proportion of coffee jars weighs between 225 grams and 240 grams? Round your result to 4 decimal places What is the probability that the average weight for a randomly selected sample of 15 coffee jars will be over 240 grams ? Round your result to 4 decimal places. Hint: Use the Central Limit Theorem for Means. Explain your reasoning. What weight would put a coffee jar in top 15%? Round your result to 2 decimal places. If you randomly select 300 jars how many would you expect to weigh under 225 grams? Round your answer to one decimal place. Interpret your result in a complete sentence.

Describe or write an algorithm that finds the minimum absolu…

Describe or write an algorithm that finds the minimum absolute difference between any two numbers \(a\) and \(b\) in a given array \(A\).    The absolute difference between \(a\) and \(b\) is \(|a-b| = |b-a|\). For example, if \(a = 2\) and \(b = 5\), then \(|a-b| = |2-5| = 3\).  The algorithm running time must be \(O(n\,lg\,n)\).