Question

question 3 points 2

find the probability that z lies between 0 and 1.56.

0.4406

0.1647

Explanation:

Define the probability interval

Using the Normal Distribution Properties knowledge point

$$ P(0 < z < 1.56) = P(z < 1.56) - P(z < 0) $$

Find cumulative probabilities

Using the Z-score Calculation knowledge point

$$
LATEXBLOCK0
$$

Calculate the final probability

Subtract the lower cumulative probability from the upper cumulative probability:

$$ P(0 < z < 1.56) = 0.9406 - 0.5000 = 0.4406 $$

Answer:

• (A) 0.4406 (Correct answer)
• (B) 0.1647