Question

question 11 points 3
consider a normal distribution of values with a mean of 25 and a standard deviation of 2.5. find the probability that a value is less than 29.5.

0.9082
0.9641

Explanation:

Identify given parameters

Using the Normal Distribution Properties knowledge point

$$
LATEXBLOCK0
$$

Calculate the z-score

Using the Z-score Calculation knowledge point

$$ z = \frac{X - \mu}{\sigma} = \frac{29.5 - 25}{2.5} = \frac{4.5}{2.5} = 1.8 $$

Find the cumulative probability

Using the Standard Normal Table knowledge point

$$ P(X < 29.5) = P(Z < 1.8) = 0.9641 $$

Answer:

• (A) 0.9082
• (B) 0.9641 (Correct answer)