QUESTION 1 A local fisherman is recording the time taken for him to catch a fish. From the previous data, it is known th

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Question 1 A Local Fisherman Is Recording The Time Taken For Him To Catch A Fish From The Previous Data It Is Known Th 1 (50.97 KiB) Viewed 105 times

QUESTION 1 A local fisherman is recording the time taken for him to catch a fish. From the previous data, it is known that the average time to catch a fish was 20 minutes. The fisherman assumes a normally distributed population with a standard deviation of 5 minutes. a) What is the probability that the fisherman will catch a fish in more than 19 minutes? b) What is the probability that the time in which the fisherman will catch a fish is between 12 and 19 minutes? c) From a sample of 32 fish caught, what is the probability that the sample mean will be less than 20.5 minutes? d) Is the sample taken in c) assumed to be normally distributed, why? What theorem is used to support this assumption? Show your working by typing your answer in the first box or by uploading a scanned/photograph of your working t the submission box on Moodle after the exam.