for a standard normal distribution, find:\n\n$p(z < 2.01)$\nexpress the probability as a decimal rounded to…
for a standard normal distribution, find:\n\n$p(z < 2.01)$\nexpress the probability as a decimal rounded to 4 decimal places.
Answer
Explanation:
Step1: Identify the given z-score
The problem asks for the cumulative probability $P(z < 2.01)$ for a standard normal distribution.
Step2: Locate the value in the z-table
Using a standard normal distribution table (z-table), find the intersection of the row for $2.0$ and the column for $0.01$.
Step3: Determine the cumulative probability
The value at the intersection of $2.0$ and $0.01$ represents the area to the left of $z = 2.01$. $$P(z < 2.01) = 0.9778$$
Answer:
0.9778