Question: Please look at question below and answer. Application 14. Farmer Macdonald grows soybeans. The table below shows the heights of a random sample of 30

Please look at question below and answer.

Application 14. Farmer Macdonald grows soybeans. The table below shows the heights of a random sample of 30 plants after several weeks. Soybean Height (cm) 70 59 60 62 62 56 59 62 61 55 56 64 61 48 46 50 61 61 49 56 66 55 60 57 66 63 60 51 67 60 a) Determine the mean and standard deviation of the sample data. [4 marks] b) What is the probability that a given plant will have a height of more than 55 cm? [2 marks] c) What is the probability that a given plant will have a height between 50 cm to 65 cm? [3 marks] d) What is the probability that a given plant is either less than 45 cm in height or greater than 75 cm in height? [3 marks]

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