The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.25 0.5987 0.35 0.6368 0.45 0.6736 1.00 0.8413 1.26 0.8961 1.35 0.9115 1.36 0.9131

The probability  of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%What will be the probability? we know that the formula for probability is given by [tex]Z=\dfrac{X-\mu }{\sigma}[/tex]where,Z = Z score,X = raw score,μ = mean,σ = standard deviation,The probability  of the students to be selected randomly between 350 and 550 will be given as [tex]=P(350 < X < 550)[/tex][tex]=P(350-500 < X-500 < 550-500)[/tex][tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex][tex]=P(-1.36 < Z < 0.45)[/tex][tex]=P(Z-1.36)-P(Z-0.45)[/tex][tex]=(0.9131-0.6736)[/tex][tex]=0.2395[/tex]Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%To learn more about probability follow