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binomial distribution with parameters

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Suppose only 70% 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:

a) between 320 and 370 (inclusive) of the drivers in the sample regulary wear a seat belt
b) Fewer than 325 of those in the sample reqularly wear a seat belt? Fewer than 315?

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This post reiterates binomial distribution with parameters.

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Answer
Suppose X denotes the number of drivers wear seat belt in a sample of 500 drivers.
Given, probability that a driver wear seat belt = 0.70. ...

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