Question: Hello, Does anyone can help me with this question, please? Assume the speed of vehicles along a stretch of the A8 highway (Monaco to Nice)

Hello,

Does anyone can help me with this question, please?

Assume the speed of vehicles along a stretch of the A8 highway (Monaco to Nice) has an approximately normal distribution with a mean of 118 Km/h and a standard deviation of 11 Km/h. The current speed limit is 110 Km/h.

a)What is the proportion of vehicles with a speed up to the limit?

b)What proportion of the vehicles would be going less than 95 Km/h?

c)A new speed limit will be initiated such that approximately 10% of vehicles will be over the speed limit. What is the new speed limit based on this criterion?

d)In what way do you think the actual distribution of speeds differs from a normal distribution?

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