Question: 1.) Find the following probabilities based on the standard normal variable Z . (Youmay find it useful to reference the z table . Round your

1.) Find the following probabilities based on the standard normal variableZ.(Youmay find it useful to reference thez table.Round your answers to 4 decimal places.)

A P(Z>0.67)
B P(Z< = -1.58)
C P(0< = Z < = 1.4)
D P(-0.79 < = Z < = 2.49)

2.)A packaging system fills boxes to an average weight of 17 ounces with a standard deviation of 0.2 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight.(You may find it useful to reference thez table.Round "z" value to 3 decimal places and final answers to 2 decimal places.)

1st Quartile
2nd Quartile
3rd Quartile

3.) LetYhave the lognormal distribution with mean 83.6 and variance 169.70. Compute the following probabilities.(You may find it useful to reference thez table.Round your intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answers to 4 decimal places.)

A P(Y>96)
b P(77

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