suppose only 75% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. what is the probability that fewer than 400 of those in the sample regularly wear a seat belt?
Added by Isabel F.
Step 1
Identify the parameters: - Population proportion of drivers who regularly wear a seat belt: p = 0.75 - Sample size: n = 500 - Number of drivers in the sample who regularly wear a seat belt: X Show more…
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Suppose only 75% of all drivers of a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. To use the normal distribution to approximate this binomial distribution, what should be the mean and standard deviation? What is the probability that no more than 400 of those in the sample regularly wear a seat belt?
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Suppose only 70$\%$ of all drivers in a state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that (a) Between 320 and 370 (inclusive) of the drivers in the sample regularly wear a seat belt? (b) Fewer than 325 of those in the sample regularly wear a seat belt? Fewer than 315$?$
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