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10 9 Compute: 5 - + 3 . -8 9 4 Question Help: DVideo Z Calculator Submit Question 6,

Let R=2Ei] ={ a+ib:g,bEZ,;=5-} %3D is aring ?

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5 Compute dr. V5+ v2 2 V5 V2 2 O 2/5 – 2/2 V5 V2 5 2 V5 - v2

How many conjugacy A5 have ? Define characters of A5 breifly .

The data file includes the text of three books of the Bible (Joshua, Jonah and Philippians) using the ESV translation.  While these are all great books, our only interest for this project is how often each letter is used. Identify those letters whose Cls do not overlap with any the CIs of any of the other letters.  (For example the CI [0.042, 0.052] overlaps with [0.050, 0.060] because the upper bound of the first CI is greater than the lower bound of the second CI.)  List the letters with the non-overlapping Cis and specify how many such letters there are.

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Students at certain university have to pass of one these three courses (MAT102, STA105, and PHY110). The pass rates for the courses MAT 102, STA105, and PHY110 are 0.54, 0.79, and 0.86, respectively. Suppose that 30 candidates take the MAT102 course, 25 take the STA105 course and 20 take the PHY110 coruse. A student takes one of these courses and passes. What are the probabilities that she took MAT102, STA105 or PHY110? Hint: Denote by Q the event a student to pass their course. Now denote by R1, R2 and R3 the events to take courses MAT102, STA105, and PHY110. The pass reates then represent the conditional probabilites: P(Q| R1), P(Q| R2) and P(Q| R3). The number of students taking the courses can be used to estimate the probabilities for R1, R2 and R3. For example, since there are total of 30 + 25 + 20 = 75 students that take the courses, for R1 we have: P(R1) = 30/75 = 2/5 What you are asked is: given that a student passes (event Q) estimate the probabilities that she took MAT102…