SOLUTION: For a standard normal distribution, find: P(1.54 < z < 2.76) Express the probability as a decimal rounded to 4 decimal places.

Algebra ->  Probability-and-statistics -> SOLUTION: For a standard normal distribution, find: P(1.54 < z < 2.76) Express the probability as a decimal rounded to 4 decimal places.      Log On


   

Question 1158685: For a standard normal distribution, find:
P(1.54 < z < 2.76)
Express the probability as a decimal rounded to 4 decimal places.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

P%281.54%3Cz%3C2.76%29
First look up the areas in the table that correspond to the numbers 1.54 and 2.76.
We obtain 0.93822 and 0.99711, respectively.
From the figure it is apparent that we must take the difference of these two numbers to obtain the probability desired. In symbols,

P%281.54%3Cz%3C2.76%29=P%28z%3C2.76%29-P%28z%3C1.54%29=0.99711-0.93822=0.0589 rounded to 4 decimal places