Use R codes and z tables only . (a) The birth weights of babies are known to be normal distributed with mean weight of 120 ounces and standard deviation of 20 ounces . A "low birth weight" baby is one that is born in the 5th percentile of the distribution. LOW BIRTH WEIGHTS HAVE LOWER SURVIVAL RATES THAN NORMAL BIRTH WEIGHTS. (i) What's the threshold weight for a low birth weight baby (ii) Calc probability that birth weight babies (A) are below 60 (B) above 150 (C) between 100 & 140 ounces. (iii) Out of 10 babies born, what's the probability of that exactly 1 of them have "very low birth weight "( weights below 60 ounces ) (iv)Out of 10 babies born , what's the probability that less than 2 of them will have "very low birth weight.(weight less than 60)

6 , Given a binomial distribution ) with h= 150 9 p = 0. 4 al p (x ) 50 ) using exact distribution. O Coke P(x ) 50 ) using normal approximation. Given a Poisson distribution, for A with 2: 30 calc P (X' ( 15) using hotmal approximation