Answer:
Explanation:
Given:
mean = 50
standard deviation = 3
distribution is a normal distribution
To find:
P(x≤44)
To determine the probability, we will apply the z-score formula:
[tex]\begin{gathered} \begin{equation*} z=\frac{X-μ}{σ} \end{equation*} \\ \mu\text{ = mean} \\ \sigma\text{ = standard devation} \\ X\text{ = value} \end{gathered}[/tex][tex]\begin{gathered} z\text{ = }\frac{44\text{ - 50}}{3} \\ \\ z\text{ = }\frac{-6}{3} \\ \\ z\text{ = -2} \end{gathered}[/tex]Next, we will find P(z ≤ -2):
[tex][/tex]