02 May The due date/time is given on the Electronic Course Profile. Please use the i
The due date/time is given on the Electronic Course Profile. Please use the i-mark system
to submit. STAT7003 students have an additional question, marked with a star (*). Everyone
may attempt the challenge question (#). This can earn bonus marks, but no help
will be given.
1. The random variables X1, X2, . . . are independent and identically distributed (iid),
each with pdf f given in Assignment 4, Question 1. Let Sn = X1 + · · · + Xn.
Using the Central Limit Theorem and the graph of the standard normal distribution
in Figure 1, approximate the probability P(S100 = 562). Express your answer in the
format x.x · 10-x
. Verify your answer by simulating 10,000 outcomes of S100 and
counting how many of them are = 562. Show the code.
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