Answer:
The probability that a randomly selected student has a score between 350 and 550 is 0.5867
Step-by-step explanation:
We know that,
\(Z=\dfrac{X-\mu}{\sigma}\)
where,
Z = Z score,
X = raw score,
μ = mean,
σ = standard deviation,
The probability that a randomly selected student has a score between 350 and 550 is,
\(P(350
\(=P\left(\dfrac{350-500}{110}<\dfrac{X-500}{110}<\dfrac{550-500}{110}\right)\)
\(=P\left(-1.36
\(=P(Z<0.45)-P(Z<-1.36)\)
\(=0.6736-0.0869\)
\(=0.5867\)
