Suppose X is a non-standard normal variable, with a mean of 145, and std deviation of 10 (i.e. X~N(145,10)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z =  0.72, what is it on an X scale?

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Suppose X is a non-standard normal variable, with a mean of 145, and std deviation of 10 (i.e. X~N(145,10)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z =  0.72, what is it on an X scale? 
Express your answer to two decimal places (ex: 123.45). 

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Answer :-Given X is a non-standard normal variable, with a mean ,μ= 145 and standard deviation  σ = 10 

X~N(145,10)

Using Formula for z score is z =(x-μ)/σ 

=> X = μ+ σz 

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