Question

section 7.2 homework score: 4/14 answered: 4/14 question 5 for a standard normal distribution, p(z > c) = 0.1791 find c rounded to two decimal places.

Explanation:

Step1: Use the property of the standard - normal distribution

We know that $P(Z > c)=0.1791$. Since the total area under the standard - normal curve is 1, then $P(Z\leq c)=1 - P(Z > c)$.
So, $P(Z\leq c)=1 - 0.1791=0.8209$.

Step2: Look up the z - value in the standard - normal table

We use the standard - normal table (z - table) to find the z - value corresponding to a cumulative probability of 0.8209. Looking up 0.8209 in the body of the z - table, the corresponding z - value is approximately 0.92.

Answer:

0.92