The data given (in the attached sheet \'marks\') are the marks m obtained by stu

Question

The data given (in the attached sheet 'marks') are the marks m obtained by students in a class. Obtain the pdf(m), mean mum, and standard deviation sigmam for each of the following fit. In each case plot the pdf, and cpdf. For each case, using your own judgment, determine the number of students receiving the letter grades {a, b, c,D,F}. The lognormal distribution will be used further in (B) below. 1. Histogram 2. Normal 3. Log-normal 4. Wei-bull B. Using the lognormal distribution obtained above, determine another (as a transformation of m) lognormally distributed random variable n which will have n_0 as its scale and omega_n as its shape parameters so that n would have the same standardized normal distribution as m. (The values for these parameters are TEAM specific as given below.) That is, obtain the transformation n = am^beta with a and beta expressed in terms of knowns (m_0 and omega_m from A. 3 above) and specified parameters.

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