Task 3: (Group Task} (30 marks)[(a =9 marks I + [7 * 3 = 21 marksj] The amount of gold in jewelry in a jewels shop were taken and recorded in 20 jewelry as below: [0.32 T001 I003 I275 9.47 \"3.68 [10.86 BT52 a. Construct the normal distribution of the data with :1, i 2, i 3 Sigma values. b. Use Megastat to find the probability for the gold content be more than 8gms c. Use Megastat to find the probability for the gold content be less than lgms d. Use Megastat to find the probability for the gold content be between 10 and 17 gms e. Use Megastat to find the gold content of the bottom 5% of the jewels f. Use Megastat to find the gold content of the top 15% of the rod jewels 3. Use Megastat to find the gold content of the middle 70% of the jewels h. If there were 2000 jewels are in the shop, how many of them would have gold content less than 3gms Task 4: Application Question - Basic level (individual task) (10 marks) Each member will Choose any one of the below to answer. N0 TWO STUDENTS WILL ANSWER THE SAME QUESTIONS. You must give clear workings and reasons. Question - 1 The average word count for an essay competition is 3500 with a standard deviation of 400. You have submitted an essay with 4000 words. a. the committee announces that the top 10% of the word counts will be disqualified .Will you be disqualified ? b. if you are disqualified, how many words do you need to change to be considered for the competition