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Problem 1: Please locate a business article related to Random Variables and Probability Distributions with a graph .Provide a link to the article in your

Problem 1:Please locate a business article related to Random Variables and Probability Distributions with a graph .Provide a link to the article in your post and along with a brief summary of what you learned from the article.

Problem 2: Assume the number of downloads per day of a popluar APP A follows a normally distribution with a mean of 2800 and standard devation of 860. Answer the following questions:

1) What is the probability there are 2000 or fewer downloads in a day?

2) What is the probability ther are between 1500 and 2500 downloads in a day?

3) What is the probability there ar more than 3000 downloads in a day?

4) Assume the company providing the downloading service has designed itsservers so there is probability 0.01 that the number of downloads in a day exceeds the serviers' capacity and more servers have to be brought online.How many downloads per day are the servers designed to handle?

Problem 3: A logistic company determined the distance traveled per truck per year follows a normally distribution with a mean of 50 thousand miles and standard devation of 12 thousand miles. Answer the following questions:

1) What proportion of trucks travel between 35 and 60 thousand miles?

2) What proportion of trucks travel less than 30 or more than 60 thousand miles?

3) About 95% of trucks travel at least how many thousand miles?

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