istribution with mean 165 cm and standard deviation 15 cm. riefly summarise the key properties of the Normal Distribution. alculate the expected proportion of ballerinas in UK who would be shorter tha pusin. (Z table attached). Show your workings and illustrate your method with

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Your ballerina cousin comes to visit you in London. She is 150 cm tall. She would like to
train at the Royal Ballet, and has been told that the height of ballerinas in UK follows a
normal distribution with mean 165 cm and standard deviation 15 cm.
(a.) Briefly summarise the key properties of the Normal Distribution.
(b.)Calculate the expected proportion of ballerinas in UK who would be shorter than your
cousin. (Z table attached). Show your workings and illustrate your method with a
diagram.
Transcribed Image Text:Your ballerina cousin comes to visit you in London. She is 150 cm tall. She would like to train at the Royal Ballet, and has been told that the height of ballerinas in UK follows a normal distribution with mean 165 cm and standard deviation 15 cm. (a.) Briefly summarise the key properties of the Normal Distribution. (b.)Calculate the expected proportion of ballerinas in UK who would be shorter than your cousin. (Z table attached). Show your workings and illustrate your method with a diagram.
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