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Find the area in the left tail more extreme than z=−2.56z=-2.56 in a standard normal distribution. Round your answer to four decimal places. \newlineArea - □\square

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Full solution

Q. Find the area in the left tail more extreme than z=−2.56z=-2.56 in a standard normal distribution. Round your answer to four decimal places. \newlineArea - □\square
  1. Understand the problem: Step 11: Understand the problem.\newlineWe need to find the area under the standard normal curve to the left of z=−2.56z = -2.56. This area represents the probability of a zz-score being less than −2.56-2.56.
  2. Use distribution table: Step 22: Use the standard normal distribution table or a calculator.\newlineSince the z-score table or calculator gives the area to the left of a z-score, directly look up z=−2.56z = -2.56 or use a calculator's function for the cumulative distribution function (CDF) of the standard normal distribution.
  3. Find the area: Step 33: Find the area from the table or calculator.\newlineUsing a calculator, the CDF value for z=−2.56z = -2.56 is approximately 0.00520.0052. This is the area under the curve to the left of z=−2.56z = -2.56.

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