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section 7.2 homework score: 3/14 answered: 3/14 question 4 for a standa…

Question

section 7.2 homework
score: 3/14 answered: 3/14
question 4
for a standard normal distribution,
p(z < c) = 0.5489
find c rounded to two decimal places.

Explanation:

Step1: Use z - table

We use the standard normal distribution z - table (also called the cumulative distribution function table for the standard normal distribution $N(0,1)$). The table gives the cumulative probability $P(Z < z)$ for different values of $z$.

Step2: Locate the probability

We look for the value closest to $0.5489$ in the body of the z - table.

Step3: Determine the z - value

From the z - table, when $P(Z < c)=0.5489$, the corresponding $z$ - value (i.e., $c$) is approximately $0.12$.

Answer:

$0.12$