Question: In Example 4, what is the probability that at most 100 adults will say they never wear a helmet when riding a bicycle? a. Determine

In Example 4, what is the probability that at most 100 adults will say they never wear a helmet when riding a bicycle?

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 ≤ 100) 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.

Example 4

Fifty-eight percent of adults say that they never wear a helmet when riding a bicycle. You randomly select 200 adults in the United States and ask them whether they wear a helmet when riding a bicycle. What is the probability that at least 120 adults will say they never wear a helmet when riding a bicycle?

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