Please help me out these questions experts! (with how to do with Ti-84 calculator would be really appreciated!)

According to a recent study, 83% of American children (age 2 - 9) believe in Santa Claus. Suppose we obtain a random sample of 126 children in this age group and ask them whether or not they believe in Santa Claus. Answer the following: 1) Can the sampling distribution of p be approximated by the normal distribution? yes Ono 2) What is the mean of the distribution of p ? 0.83 3) What is the standard deviation of the distribution of p ? 0.0335 4) What is the probability that fewer than 112 of the children from the sample will respond that they believe in Santa Claus? 0.0392 (Round your answers to four decimal places when appropriate)Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. The current amount of somatic cells (common name "pus") allowed in 1 cc of cow milk is currently set at 750,000. Suppose a random sample of 55 1 cc specimens is gathered and results in a sample mean of 762724 pus cells. a. Why is the sampling distribution approximately normal? (2 points) b. Assuming a population mean of 750,000 cells and a population standard deviation of 62000 cells: What is the mean of the sampling distribution? (2 points) c. What is the standard deviation of the sampling distribution? (2 points) d. What is the probability that a simple random sample of 55 1 cc specimens has a mean of at least 762724 pus cells? (6 points) e. Is this unusual? Use the rule of thumb that events with probability less than 5% are considered unusual. (2 points) ONo Yes