A hospital in a large city records the weight of every infant born at the hospital. The weights are normally distributed with a mean of 2.9kg and a standard deviation of 0.45kg. Determine the follow:
a) What is the variable of interest here?
b) What is an appropriate model to represent the above variable? Write down theparameters of the model.
c) Discuss how the conditions of the appropriate model are satisfied in the current study.Explain the conditions in the context of the problem.
d) Find the mean and standard deviation of the variable using the parameters of themodel.
e) Find the probability that at most 3 patients having this medicine will have undesirable side effects.
f) In a random sample of 150 patients having this medicine, determine the probabilitythat 30 or more will have undesirable side effects.
State and check relevant assumptions,conditions or rules of thumb that should be considered before performing the calculations todetermine this probability