Hint(s) Check My WorkAssume that the traffic to the web site of Smiley's People, Inc., which sels customized T-shirts, follows a normal distribution, with a mean of 4.42 million visitorsper day and a standard deviation of 880,000 visitors per day.(a) What is the probability that the web site has fewer than 5 million visitors in a single day? If needed, round your answer to four decimal digits0.7454(b) What is the probability that the web site has 3 million or more visitors in a single day? If needed, round your answer to four decimal digits.0.9463(c) What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.0.2619(d) Assume that 85% of the time, the Smiley's People web servers can handle the dally web traffic volume without purchasing additional server capacity. WhatIs the amount of web traffic that will require Smiley's People to purchase additional server capacity? If needed, round your answer to two decimal digits.million visitors per day5.33

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The mean cost of domestic airfares in the United States rose to an all-time high of $400 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $110. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $560 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $300 and $470 (to 4 decimals)? d. What is the cost for the 4% highest domestic airfares? (rounded to nearest dollar)$ or - Select your answer -morelessItem 5
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. What is the probability a randomly selected student in the city will read more than 94 words per minute?
In an article in the Journal of Management, Joseph Martocchio studied employee absences from work at blue-collar jobs. He estimated that the mean amount of time lost during a three-month period was 1.4 days per employee with a standard deviation of 1.3 days. This distribution is not necessarily normal. You are considering hiring some workers. You hire 35 new workers. What is the probability that they average more than 1.5 day lost? Round your answer to three decimal places, eg 0.058.
The Real Estate Group NY reports that the mean monthly rent for a one-bedroomapartment without a doorman in Manhattan is $2750. Assume the standard deviationis $650. A real estate firm samples 100 apartments. (a) What is the probability that an individual apartment would have a rent greater than $3000? Based on your answer, do you think it would be unusual for an individualapartment to have a rent greater than $3000? Explain. (b) What is the probability that the sample mean would be greater than $3000? Based on your answer, do you think it would be unusual if the sample mean were greater than $3000? Explain.
Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.44 million visitors per day and a standard deviation of 870,000 visitors per day. What is the probability that the web site has 3 million or more visitors in a single day? (Round your answer to four decimal places.)
Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is more than $35,000?
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
At night, John works occasionally as a waiter for his family's restaurant for which his monthly income is normally distributed with a mean of $1,579 and a standard deviation of $103. What is the probability that John will earn between $1,322 and $1,764 this month? (Keep 4 decimal places).
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.964 grams and a standard deviation of 0.296 grams. Find the probability of randomly selecting a cigarette with 0.668 grams of nicotine or less. Round your answer to four decimals.
Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh? Find the probability that a house costs less than $100,000. If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?

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