1. Study shows that the teenagers spend on average 6.7 hours per week on playing sports with a standard deviation of 1.9. If the time spent on sports is approximately normally distributed, determine:

• The probability that their weekly time spent is between 4.9 and 7.5 hrs. [3 marks]
• The time that separates the top 32% of the time spent from the bottom of the 68% of the time per week. Round answer to one decimal place. [3 marks]
• If 36 teenagers are randomly selected, what is the probability that the mean of their weekly time spent on sports is greater than 6.5 hours? [3 marks]