Growing plants in a greenhouse can be a gardener's dream come true. However, you need to know how to maintain optimum conditions in your greenhouse if you want your plants to thrive. While each plant is different, the ideal greenhouse temperature for most plants and vegetables is normally distributed with a mean of 26.55 degrees Celsius and a standard deviation of 0.74 degrees.

Draw diagrams to help you solve the following problems

(1 mark) What is the probability that the temperature is 25.54 degrees Celsius or lower on a randomly selected day? Answer 3dp)

(2 mark) In general, the range that will keep most plants alive and healthy is 34.35 and 25.05 degrees Celsius. What is the probability that the temperature falls between this ideal range? Answer 3dp)

(2 mark) Determine the temperature which is on the 64th percentile of this distribution? Answer(2dp