Question: A recent survey conducted by the Allstate Foundation reported that 68% of teens admitted to texting while driving. A random sample of 40 teens is

A recent survey conducted by the Allstate Foundation reported that 68% of teens admitted to texting while driving. A random sample of 40 teens is selected. Use the normal approximation to the binomial distribution to answer the following:

a. Calculate the mean and standard deviation for this distribution.

b. What is the probability that less than 29 teens of the 40 admit to texting while driving?

c. What is the probability that exactly 24 teens of the 40 admit to texting while driving?

d. What is the probability that more than 32 teens of the 40 admit to texting while driving?

e. What is the probability that 26, 27, or 28 teens of the 40 admit to texting while driving?

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