a) What is the probability that a randomly selected Honda Accord has a breaking distance greater than 44.2? b) If 200 Honda Accords are randomly selected, approximately how many of them will have the braking distances between 44.5 and 45.8? c) If 200 Honda Accords are randomly selected, what is the probability that the average braking distance will be between 44.5 and 45.8?

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On a dry surface, the distribution of the braking distances (in meters) of Honda Accords can be approximated by a normal distribution with a mean of 45 and a standard deviation of 0.5.

a) What is the probability that a randomly selected Honda Accord has a breaking distance greater than 44.2?

b) If 200 Honda Accords are randomly selected, approximately how many of them will have the braking distances between 44.5 and 45.8?

c) If 200 Honda Accords are randomly selected, what is the probability that the average braking distance will be between 44.5 and 45.8?

d) Find a cutoff value for the braking distance such that only 5% of Honda Accords have braking distances greater than it (round off to two decimal places).

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