The height of Maltese dandelions has shown to be a normally distributed random variable; the mean height is 5.7 inches, with a standard deviation of 0.4 inches. i) If you selected a random sample of Maltese dandelions, what % of the plants would you expect to be between 5.3 and 6.1 inches tall?

ii) Explain your answer to the previous question.

iii) In a random sample of Maltese dandelions, 99.7% of the plants will be between and inches tall.

iv) Explain your answer to the previous question.

v) In your own words, explain the idea of the normal distribution as it relates to mean and standard deviation.