μ = 8; σ = 2 P(7≤x≤111)=
Answer:
Given Data :
The population mean $(\mu)=8$
The population standard deviation $(\sigma)=2$
→ The Indicated Probability for P(Seven Less Than or Equal to X Less Than or Equal to One Hundred Eleven) :
$$P(7 < x < 11) = P\left(\frac{7 – 8}{2} < \frac{x – \mu}{\sigma} < \frac{11 – 8}{2}\right) $$ $$= P(-0.5 < z < 1.5) $$ $$= P(z < 1.5) – P(z < -0.5) $$ $$= 0.9332 – 0.3085 $$ $$= 0.6247$$
