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Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts,...

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Statistics

Assume that the traffic to the web site of Smiley’s People,Inc., which sells customized T-shirts, follows a normaldistribution, with a mean of 4.56 million visitors per day and astandard deviation of 800,000 visitors per day.

(a) What is the probability that the web site has fewer than 5million visitors in a single day? If needed, round your answer tofour decimal digits.

(b) What is the probability that the web site has 3 million ormore visitors in a single day? If needed, round your answer to fourdecimal digits.

(c) What is the probability that the web site has between 3million and 4 million visitors in a single day? If needed, roundyour answer to four decimal digits.

(d) Assume that 85% of the time, the Smiley’s People web serverscan handle the daily web traffic volume without purchasingadditional server capacity. What is the amount of web traffic thatwill require Smiley’s People to purchase additional servercapacity? If needed, round your answer to two decimal digits.______ million visitors per day

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