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My home I My units / STAT1250_FHFYR_2022_ALL_U / Assessments / Hurdle Quiz 3 (due Friday 5 pm Week 6) Question 5 Not yet saved Marked out of 5.00 (7 Flag question An athletics coordinator collected the 100meter sprint times for 15year old students at St lgnatius's College. The sprint time assumes to follow a normal distribution with a mean of\": 14.76 seconds and a variance of 0'2: 0.6241 seconds2. Draw diagrams to help you solve the following problems 1. (1 mark) For a group of 34 fifteen-year students randomly selected at St Ignatius's College, how many of them will have a 100-meter sprint time of 14.06 seconds or less? (integer) . (2 mark) How fast does a 15-year old student at St lgnatius's College have to run to be the fastest 29% of 100-meter sprinters? (3dp) (Hint: Draw a diagram to help check whether your answer makes sense or not) . (2 mark) The sprint time for a randomly selected 15year student at St lgnatius's College ranges between 1.465 standard deviations below the mean ofa standard normal distribution and 1.682 standard deviations above the mean of a standard normal distribution. What is the probability of another randomly selected 15-year student having the same sprint time range? (3dp) (Hint: Draw a standard normal diagram and clearly label the information onto the graph. Be careful with the sign.) Copyright Macquarie University. Copying or distribution of part or all of the contents in any form is prohibited. Next page