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Find the area in the left tail more extremetsan $z=-2.56$ in a standard normal distribution. Round your answer to four decimal places. Area - $\square$

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Inverses of trigonometric functions using a calculator

Full solution

Q. Find the area in the left tail more extremetsan

z=-2.56

in a standard normal distribution. Round your answer to four decimal places. Area -

\square

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find the area under the standard normal curve to the left of $z = -2.56$ . This area represents the probability of a $z$ -score being less than $-2.56$ .
Use distribution table: Step $2$ : Use the standard normal distribution table or a calculator. $\newline$ Since the z-score table or calculator gives the area to the left of a z-score, directly look up $z = -2.56$ or use a calculator's function for the cumulative distribution function (CDF) of the standard normal distribution.
Find the area: Step $3$ : Find the area from the table or calculator. $\newline$ Using a calculator, the CDF value for $z = -2.56$ is approximately $0.0052$ . This is the area under the curve to the left of $z = -2.56$ .

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