Running head: STATISTICSProbabilityName of StudentInstitution AffiliationDateSTATISTICSDISCUSSOIN 1:The Normal Probability DistributionP (Z - 1.75) = 1- P (Z> - 1.75)=1-[1- P (Z> - 1.75)]= P (Z>1.75)= 0.040059.From standard normal table.And P (Z - 1.75) = 1- P (Z> - 1.75)=1-0.040059.From standard normal table.=0.959941Properties:1. The standard normal distribution is symmetric about zero (mean)P (Z - 1.75) = 1- P (Z 1.75)2. We also observe that,P (Z - 1.75) = 1- P (Z> 1.75) Due to symmetrySTATISTICSDISCUSSION 2:Relationship of Height and Weight1) regression linear with excelWe have the equationy=5.2536x-207.75R^2=0.51292. We can use, regression equation to predict the weight (in pounds) of a person who is 65inches tall and the weight (in pounds) of a person who is 100 inches tall.i.e. if x = 65 inches then y = 5.254*65-207.7 = 133.81 pounds.if x = 100 inches then y = 5.254*100 - 207 .7 = 317.7The presence of the outlier significantly altered the estimated correlation and regressionequation. Therefore, the regression equation we have found not be a good predication of theweight of someone who is 100 inches tall.STATI ...

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