An athletics coordinator collected the 100-meter sprint times for 15-year old students at Ryde Secondary College. The sprint time assumes to follow a normal distribution with a mean of u= 14.23 seconds and a variance of o? = 0.6561 seconds?. %3D Draw diagrams to help you solve the following problems 1. For a group of 41 fifteen-year students randomly selected at Ryde Secondary College, how many of them will have a 100-meter sprint time of 15.18 seconds or less? (integer) 2. How fast does a 15-year old student at Ryde Secondary College have to run to be the fastest 16% of 100-meter sprinters? (3dp) (Hint: Draw a diagram to help check whether your answer makes sense or not) The sprint time for a randomly selected 15-year student at Ryde Secondary College 3. ranges between 1.416 standard deviations below the mean of a standard normal distribution and 1.618 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.)

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