pre work to prepare for the assignment :Locate the data that you gathered for the Week 1 Discussion. ( I added the information of week 1 under this)Price for one pack of Marlboro Light in Los Angeles, California7-Eleven$10.20Chevron Gas station$9.70 76 Gas station$9.55 Ralph’s$9.40 Mobil Gas station$9.38Arco Gas station$9.37 Vons$9.80 Shell Gas station$10.19 Sinclair Gas station$10.40 Union Oil Gas station$9.39 · Average cost of one pack of Marlboro Light is: $10.2 + $9.70 + $9.55 + $9.40 + $9.38 + $9.37 + $9.80 + $10.19 + $10.40 + $9.39 = $97.38/10 = $9.738· Average cost per year for a one pack per day: 365 days * 9.738 = $ 3554.7Calculate the sample standard deviation from your cigarette price data in Week 1. Use that (and your sample average and sample size) to calculate the following (assuming a normal distribution):Within what range would you find 90% of cigarette prices in your area?What are the chances that someone in your area would pay 4 dollars or less per pack?What are the chances that someone in your area would pay 10 dollars or less per pack?This is the actual assignmentPost a 150- to 225-word (2- to 3-paragraph) explanation of how probability distributions affect management decisions. In your explanation, address the following: (Provide your results of the following:Your calculations for your standard deviationThe range within which 90% of the prices of cigarettes in your area fallsThe chances of anyone paying less than 4 dollars for a pack of cigarettes The chances of anyone paying more than 10 dollars for a pack of cigarettesDescribe what implications this concept has for management decision making.Explain how you might use information like this in your current work.To support your response, be sure to reference at least one properly cited scholarly source. (Please reference from this video: https://www.youtube.com/watch?v=NY2zWGBXBhU- add it as a paraphrase in the text- just let me know where you are putting it.- please begin with- according to math meeting (2013), then paraphrase)