Exp #8 Statistics of Nuclear CountingData and Analysis TableANALYSIS OF DATA (*A Sample Calculation should be shown for each part, where appropriate)ConclusionQuestionsPHYS 163 Lab Section A <Your Name>Prof. Augensen <Date Performed>Exp #8 Statistics of Nuclear Counting<Names of Lab Partners>DATA**Insert MS Excel Data Sheet(s) here** Data and Analysis TableNote: Delete the items which appear in blue throughout this document before submitting your report. They are merely intended to guide you through the report. 2PROCEDUREAs stated in the lab manual. ANALYSIS OF DATA (*A Sample Calculation should be shown for each part, where appropriate) _ _ _ _ _1, 2. Calculate n, (n-n), (n-n)2, (n-n), (n-n)2 on spreadsheet3. Calculate standard deviation  from Eq. 8.2a. _4. Verify that  (n-n)  0 (typical values range ~ 10-12 to 10-13, which is basically zero)5. Calculate standard deviation  from approximation of Eq. 8.2b. 6. Calculate probable error R (what I call p) from Eq. 8.6. Calculate probable percentage error r from Eq. 8.7a 7. a) Compare  (Eq. 8.2a) with (Eq. 8.2b) by % Difference _ b) Count number of times |n-n| >  (standard deviation) Comment in Conclusion: Does this agree reasonably well w/ expected 32% ? _ c) Count number of times |n-n| > R (probable error) Comment in Conclusion: Does this agree reasonably well w/ expected 50% ? _ _ _8, 9. Plot of P(n) vs n. Show with dotted lines the points of n, n-, and n+. 3CONCLUSION + QUESTIONS Conclusion Discuss various sources of error Comment on results of Analysis above, especially if in agreement with Gaussian distribution. In particular: Part 4: Does = 0 ? Part 7a: Are the two ’s in agreement? b: Do the numbers you counted amount to about 32% of total (50)? c: Do the numbers you counted amount to about 50% of total (50)?Parts 8,9: See Question 3 below Questions _1. a) Calculate n for: a) r = 1% b) r = 0.1% _ _ _ _ _2. Calculate exp[-(n-n)2/22 ] for: a) n = n, n + , n + 2, n + 3 _ _ _ _ b) n = n, n - , n - 2, n - 3 c) As n moves farther away from the mean, does its probability increase, decrease, or remain constant?3. Does your plot resemble the familiar “bell curve?” Is it symmetrical? _ _ Does the area under the curve between n-, and n+ appear to be approximately two-thirds of the total area under the