Question 1 A) A recent survey by an Internet Service provider in Gaborone found that the daily data consumption by house
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Question 1 A) A recent survey by an Internet Service provider in Gaborone found that the daily data consumption by house
Question 1 A) A recent survey by an Internet Service provider in Gaborone found that the daily data consumption by households was normally distributed with a mean of 4.40 Gb and a standard deviation of 0.5 Gb. Given this information answer the following questions. (1) What percentage of households were likely to use more than 4 Gb of data in a day? [3] ii) What is the probability of a household using between 4.60 and 5 Gb of data a day? [3] ii) Assuming that the cost of data is BWP 0.75 per Gb, what would be the maximum amount that the lowest consuming 30% of consumers would pay?[4] B) The Internet provider wants to ascertain information on the user satisfaction of the households in the area. They have commissioned Kwikbe Market research who has found from experience that two in five people are willing to participate in the interviews. i) If 12 people are approached, what is the probability that only two are willing to participate in the interview? [4] ii) What is the probability that at least eight people will be willing to participate in the interview? [4] iii) If the Kwikbe Market research company interviews 80 people a month, what is the average number of people that will participate in the Kwikbe in a month? [2]