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a} A population is characterized with p = 30 and o = a i. Compute the Z asociated with X = 4d. ii. lEontpute the Z associated with X = l'l'. {3 Marks} b} Suppose we know that the birth weight of babies is Normally distributed with mean 35|JIJg and standard deviation SIDHg. What is the probability that a baby is born that weighs less than 31mg? {Ill Marks} c} Topfnnd supplies Iii-Data DVDs in lots of 50, and they have a reported defect rate of [1.5% so the probability of a disk being defective is . It folloWs that the probability of a disk being good is [1.995. llulliiat is the probability of getting at least one defective disk in a lot of SID? {1.3 Marks} d} Discuss four important characteristics of normal distribution. { Marks}