Consider the following symbols and their frequencies:a: 0.20, b: 0.10, c: 0.15, d: 0.25, e: 0.30.Since b and c are the symbols of least weight, they are combined into a subtree, which we will call T1 for discussion purposes, of weight 0.10 + 0.15 = 0.25, with the larger weight symbol, c, on the left. Now, the two trees of the smallest weight are the single symbol a and either T1 or the single symbol d (both have weight 0.25). We break the tie arbitrarily in favor of T1, so we get a tree T2 with left subtree T1 and right subtree a. If we continue constructing the tree as mentioned, what are the Huffman codes of the symbols a, b, c, d, and e?

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec