Suppose X~N(55,45.5). {Remember that this means Normally distribut(mean, standard deviation)} In part B of this exercise you will be required to find P(X<105) using tables. Part A Find the value z0 of the standard normal variable Z, such that P(X < 105) = P(Z < z0) Give your answer to 2 decimal places in the form x.xx or -x.xx as appropriate.   Part B Use tables to find the probability P(X < 105). Give your answer rounded to 2 decimal places in the form 0.xx

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Author:Amos Gilat
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Suppose X~N(55,45.5). {Remember that this means Normally distribut(mean, standard deviation)}

In part B of this exercise you will be required to find P(X<105) using tables.

Part A

Find the value z0 of the standard normal variable Z, such that

P(X < 105) = P(Z < z0)

Give your answer to 2 decimal places in the form x.xx or -x.xx as appropriate.

 

Part B

Use tables to find the probability P(X < 105). Give your answer rounded to 2 decimal places in the form 0.xx

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