Standardise the appropriate value(s) of the normal variable X represented in each diagram, and find the required
Question:
Standardise the appropriate value(s) of the normal variable X represented in each diagram, and find the required probabilities correct to 3 significant figures.
a. Find P(X ≤ 11), given that X ~N(8, 25).
b. Find P(X < 69.1), given that X ~N(72, 11).
c. Find P(3 < X < 7), given that X ~N(5, 5).
From this point in the exercise, you are strongly advised to sketch a diagram to help answer each question.
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Step by Step Answer:
a The given distribution is a normal distribution denoted by XN8 25 where the mean is 8 and the variance 2 is 25 The standard deviation is the square ...View the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook
ISBN: 9781108407304
1st Edition
Authors: Dean Chalmers, Julian Gilbey
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