Question 4 (8 marks) Marks a) The battery life (hours) of heavy use smartphones is normally distributed with a mean of 5.88 hours and a standard deviation of 1.83 hours. (i) What is the probability than a randomly selected smartphone has a battery life of more than 5 hours after heavy use? [2] (ii) Find the probability that a random sample of twenty-six smartphones after heavy use yields a sample mean more than 5 hours. [3] b) Streaming video content using home broadband has increased dramatically. A report showed that households last month streamed on average 278.56GB where the standard deviation is 36.98GB. Assuming its normally distributed. Suppose a researcher analyses the amount streamed by the lower quartile (bottom 25%) of households last month. Determine the maximum amount streamed last month by households in the lower quartile. [3]