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Find the percentage of the area under a normal curve between the mean and the given...

Find the percentage of the area under a normal curve between the mean and the given number of standard deviations from the mean. - 0.43

Can you explain how to get the z-score?

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Answer #1

We already know from symmetry

P ( Z<0 )=0.5.

We see that P ( Z<0.43 )=0.6664 from table shown below

P ( Z<?0.43)=1?P ( Z<0.43 )=1?0.6664=0.3336

hence

P (?0.43<Z<0 )=0.5- 0.3336 = 0.1664 = 16.64%

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