Question
ou are a network manager for a large, regional Internet Service Provider (ISP) and telecommunications company. Your company markets and sells two levels of network
ou are a network manager for a large, regional Internet Service Provider (ISP) and telecommunications company. Your company markets and sells two levels of network access: a residential service which advertises a 50 Mbps download / 20 Mbps upload internet connection, and a business service package which advertises a 100 Mbps download / 60 Mbps upload Internet connection. Your regional vice president has asked for your help with some analysis of the network in connection with an annual review of your company's marketing and advertising claims. You asked your best network administrator to provide you with the mean and standard deviation of the download and upload speeds for both your resident and business class Internet services. They have confirmed that your network speeds are all approximately normally distributed and provided the following data based on a complete census of your customer data:
Residential Service 50 Mbps download / 20 Mbps upload | Business Class Service 100 Mbps download / 60 Mbps upload | |||
Download | Upload | Download | Upload | |
Mean () | 56.7 | 21.7 | 105.0 | 61.5 |
Std. Dev. () | 2.5 | 0.9 | 3.4 | 1.9 |
Use the Normalcfd command on your TI calculator. Provide the appropriate lower and upper limits, mean and standard deviation. Express your answers as decimals rounded to three decimal places.
Find (a)The proportion of residential customers whose download speed are less than 50 Mbps.
(b)The proportion of residential customers whose upload speeds are greater than 20 Mbps.
(c)The proportion of residential customers whose download speeds are between 54 and 61 Mpbs.
(d)The proportion of business customers whose download speeds are greater than 100 Mbps.
(e)The proportion of business customers whose upload speeds are less than 60 Mbps.
(f)The proportion of business customers whose upload speeds are between 57 and 63 Mpbs.
(g)Which of these four services has the lowest reliability? What percentage of customers using this service receive the download or upload speeds advertised?
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