What is the probability that 45 or fewer teenagers of this sample will not have obtained a driver's license? b. What is the probability that 50 or more teenagers of this sample will not have obtained a driver's license? c. What is the probability that between 35 and 40 teenagers had not obtained a driver's license?
Obtaining a driver's license at the earliest eligible age has been a teenage
ritual that appears to be fading. A study performed by a university's transportation research institute recently found that 29% of U.S. teenagers between the ages of 17 and 19 did not possess a driver's license. A random sample of 140 17-to-19-year-old teenagers was selected. Determine each of the following using the normal approximation of the binomial distribution and/or the Central Limit Theorem (round your answers to four decimal places as needed).
a. What is the probability that 45 or fewer teenagers of this sample will not have obtained a driver's license?
b. What is the probability that 50 or more teenagers of this sample will not have obtained a driver's license?
d. Suppose that 33 teenagers from this sample had not obtained a driver's license. Does this result support the findings reported by the university's transportation research institute? Consider a probability of less than 0.05 to be small.
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