Question: *Please fully explain each answer and if there is function to use the ti84 calculator please share. thanks. According to a recent study, 79% of

*Please fully explain each answer and if there is function to use the ti84 calculator please share. thanks.

According to a recent study, 79% of American children (age 2 - 9) believe in Santa Claus. Suppose we obtain a random sample of 94 children in this age group and ask them whether or not they believe in Santa Claus. Answer the following(Round your answers to four decimal places when appropriate):

1) Can the sampling distribution of p^ be approximated by the normal distribution?

2)What is the mean of the distribution of p^?

3) What is the standard deviation of the distribution ofp^?

4) What is the probability that fewer than 80 of the children from the sample will respond that they believe in Santa Claus?

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