find more values of z. the variable z has a standard normal distribution. (a) find the number z that has cumulative proportion 0.88. (b) find the number z such that the event z > z has proportion 0.12.



Answer :

The values of z for the standard normal distribution are 1.17 and -1.17

How to determine the values of z

From the question, we have the following parameters that can be used in our computation:

Distribution type = standard normal distribution

The number z that has cumulative proportion 0.88.

This means that we calculate the z-score from the p-value

i.e p = 0.88

Using the z-score table of values, we have the following representation

z = 1.17

The number z such that the event z > z has proportion 0.12

This means that we calculate the z-score from the p-value

i.e. p = 0.12

Using the z-score table of values, we have the following representation

z = -1.17

Hence, the z-scores are 1.17 and -1.17

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