STA1000S 2021 Week 6 Tutorial Questions 1. A biologist is testing a large number of 5ml samples of sea water to estimate

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Sta1000s 2021 Week 6 Tutorial Questions 1 A Biologist Is Testing A Large Number Of 5ml Samples Of Sea Water To Estimate 1 (129.78 KiB) Viewed 47 times

STA1000S 2021 Week 6 Tutorial Questions 1. A biologist is testing a large number of 5ml samples of sea water to estimate the occurrence of a particular micro-organism. She finds that 62% of the samples have at least one micro-organism present. Assuming the micro- organisms are randomly occurring, with an average rate of occurrence, a) estimate k, the average number of micro-organisms per sample. b) what is the probability that in the combined sea water of three samples (15ml) she finds more than 2 micro-organisms? 2. Newspapers are sold at particular street corner during rush hour at an average rate of one every 10 seconds. If a newspaper has just been sold during rush hour on the street corner what is the probability it will be at least another 5 seconds before the next newspaper is sold? 3. A small team of bricklayers is building a warehouse in Cape Town. The number of square metres of brickwork they complete every day depends on many factors and can be approximated by a Normal distribution with mean 13 square metres and standard deviation 2 square metres. The progress for each day is independent of all the other days. If they work on the warehouse for 15 consecutive days, what is the probability that they will build at least 200 square metres of brickwork in this time?