please help i only have limited attempts for each .

(2 points) Use the Normal approximation to the binomial distribution to estimate the probability of getting atleast 47 girls in 100 births. Assume that boys and girls are equally likely. Please record your answer to atleast 3 decimal places. (4 points) For the follow questions please record your answers to at least three decimal places. The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean p = 543.2 and standard deviation 0' = 29.2. (a) What is the probability that a single student randomly chosen from all those taking the test scores 549 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SR5) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score 3c. of 30 students? The mean of the sampling distribution fork is: The standard deviation of the sampling distribution fori is: (c) What z-score corresponds to the mean score 5c of 549? ANSWER: (d) What is the probability that the mean score 3c of these students is 549 or higher