roblem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following 4 questions. 1) What is the probability there are 2000 or fewer downloads in a day? 2) What is the probability there are between 1500 and 2500 downloads in a day? 3) What is the probability there are more than 3000 downloads in a day? 4) Assume the company providing the downloading service has designed its servers so there is probability 0.01 that the number of downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many downloads per day are the servers designed to handle?   Problem 2: A logistic company determined the distance traveled per truck per year follows a normally distribution with a mean of 50 thousand miles and standard deviation of 12

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following 4 questions.

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

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

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

4) Assume the company providing the downloading service has designed its servers so there is probability 0.01 that the number of downloads in a day exceeds the servers' capacity and more servers have to be brought online.

How many downloads per day are the servers designed to handle?

 

Problem 2: A logistic company determined the distance traveled per truck per year follows a normally distribution with a mean of 50 thousand miles and standard deviation of 12 thousand miles. Answer the following 3 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 and 50 thousand miles?

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

 

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