Question

question 18 of 40
suppose a normal distribution has a mean of 50 and a standard deviation of 3. what is ( p(x leq 53) )?
a. 0.975
b. 0.84
c. 0.025
d. 0.16

Explanation:

Step1: Calculate z-score

$z = \frac{x - \mu}{\sigma} = \frac{53 - 50}{3} = 1$

Step2: Find cumulative probability for z=1

Using standard normal table, $P(Z \leq 1) \approx 0.84$

Answer:

B. 0.84