PLEASE HELP

1. According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately two per 1,000 babies in a healthy baby nursery. The number climbs to an average of 30 per 1,000 babies in an intensive care nursery. Suppose that 1,000 babies from healthy baby nurseries were randomly surveyed. Find the probability that exactly two babies were born deaf.

a) identify the random variable and what it represents/denotes

b) what distribution does the random variable follow and why? list the values this RV can take on and justify the choice of distribution

c) identify the parameters of this distribution and their values

d) write the distribution in mathematical terms and list possible values that the RV can take on

e) state what we are looking for in mathematical term (probability of 2 deaf babies)

f) to find this probability by R, what is used? what is the result and what does this result mean about the context of the question?

2. According to the South Carolina Department of Mental Health web site, for every 200 U.S. women, the average number who suffer from anorexia is one. Out of a randomly chosen group of 600 U.S. women determine the following.

a) How many are expected to suffer from anorexia?

b) Find the probability that no one suffers from anorexia.

c) Find the probability that more than four suffer from anorexia.

d) Why does the random variable follow a passion distribution?

e) Name the parameters and their values

f) Write the distribution mathematically and the possible values the random variable can take on

g) in mathematical terms, state what we are looking for (a, b, c)

h) to find this probability by R, (for part a, b, c) what is used? what is the result fo each and what does this result mean about the context of the question?