In a survey of adults in the United States, 34% said they have seen a person using a mobile device walk in front of a moving vehicle without looking. You randomly select 100 adults in the United States and ask them whether they have seen a person using a mobile device walk in front of a moving vehicle without looking. What is the probability that more than 30 respond yes?

a. Determine whether you can use a normal distribution to approximate the binomial variable.

b. Find the mean μ and the standard deviation σ for the normal distribution.

c. Apply a continuity correction to rewrite P(x > 30) and sketch a graph.

d. Find the corresponding z-score.

e. Use the Standard Normal Table to find the area to the left of z and calculate the probability.