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1. The weight of a newborn in the United States can be modelled using a normal distribution with / = 3.4 kg and o = 0.6 kg. (a) What is the probability that a newborn weighs between 3 and 4.5 kg? Write out the solution in integral form and use the following R code to compute the numerical answer: pnorm(12, mean = u, sd = 0) - pnorm(T1, mean = u, sd =() (b) What weight would a newborn need to have in order to be in the top 15 percent? Write out the equation we would need to solve in order to answer this question, then use the gnorm () function in R to find this score. (c) What is the probability that a newborn weighs more than 4.2 kg? (d) Newborns are considered to have a low birthweight if they weight less than 2.5 kg. What is the probability that a newborn has a low birthweight