Given a standardized normal distribution (with a mean of o & a standard deviatio

Question

Given a standardized normal distribution (with a mean of o & a standard deviation of 1 as in table e2. What is the probability that A. Z is less than 1.57? B. Z is greater than 1.84? C. Z is between 1.57& 1.84? D. Z is than 1.57 or greater than 1.84? Given a standardized normal distribution (with a mean of o & a standard deviation of 1 as in table e2. What is the probability that A. Z is less than 1.57? B. Z is greater than 1.84? C. Z is between 1.57& 1.84? D. Z is than 1.57 or greater than 1.84? A. Z is less than 1.57? B. Z is greater than 1.84? C. Z is between 1.57& 1.84? D. Z is than 1.57 or greater than 1.84?

Explanation / Answer

a) P(Z<1.57)

use Excel function

NORMSDIST(1.54)

= 0.9418

b) P(Z>1.84)

use Excel function

1-NORMSDIST(1.84)

= 0.0329

c) P(1.57<Z<1.84)

use Excel function

NORMSDIST(1.84)-NORMSDIST(1.57)

= 0.0253

d) P(Z<1.57) or P(1.84)

= 0.9418+0.0329

= 0.9747

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