Suppose that the random variables X,,..., X and Y..... Y, are random sample from independent normal...
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Suppose that the random variables X,₁,..., X and Y..... Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively. Calculate a) b) c) P(X>Ỹ+1), a constant c such that P standard deviation of X, X-3 x = ³ < c = ( = 0.95 where S is a sample a constant c such that P(S<c)=0.95 where S is as in (b). [ 8 marks] [Note: Please show the derivations of all the distributions.] [9 marks] [6 marks] Suppose that the random variables X,₁,..., X and Y..... Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively. Calculate a) b) c) P(X>Ỹ+1), a constant c such that P standard deviation of X, X-3 x = ³ < c = ( = 0.95 where S is a sample a constant c such that P(S<c)=0.95 where S is as in (b). [ 8 marks] [Note: Please show the derivations of all the distributions.] [9 marks] [6 marks]
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Statistics Unlocking the Power of Data
ISBN: 978-1118583104
1st edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
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