Answer:
8.08 %
Step-by-step explanation:
Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]
Step 2
The probability that someone scored 21.9 or less is :
[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]
[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]
[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]
[tex]=0.0808[/tex]
[tex]=8.08%[/tex]
Answer : [tex]8.08 %[/tex]
