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section 7.2 homework due monday by 11:59pm points 14 submitting an exte…

Question

section 7.2 homework
due monday by 11:59pm points 14 submitting an external tool
section 7.2 homework
score: 1/14 answered: 1/14
question 2
for a standard normal distribution, find:
p(z > -2.41)
express the probability as a decimal rounded to 4 decimal places.

Explanation:

Step1: Use the property of normal distribution

The total area under the standard - normal curve is 1, and $P(Z > z)=1 - P(Z\leq z)$.

Step2: Look up the value in the z - table

From the standard normal distribution table, $P(Z\leq - 2.41)$ corresponds to the value in the table for $z=-2.41$. Looking up in the z - table, $P(Z\leq - 2.41)=0.0080$.

Step3: Calculate $P(Z > - 2.41)$

$P(Z > - 2.41)=1 - P(Z\leq - 2.41)=1 - 0.0080 = 0.9920$.

Answer:

$0.9920$