According to a recent study, 79% of kids believe in the tooth fairy. Suppose we obtain a random sample of 105 people in in the age group (age 2-9) and ask whether or not they believe in the tooth fairy. Answer the following:
1. can the sampling distribution p be approximated by the normal distribution? Yes or no?
2. what is the mean of the distribution p?
3. what is the standard deviation of the distribution of p?
4. what is the probability that fewer than 91 of the children from the sample will respond that they believe in the tooth fairy.
round to 4 decimal places please.
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