10. Suppose the speed limit of vehicles on the road at a local university is normally distributed with mean 36.6 km/h and standard deviation 5.7 km/h. a) Find the probability that the mean speed limit of 20 randomly selected vehicles is between 35 km/h and 40 km/h. b) A sample of 30 vehicles are selected at random. Determine the value of w such that 80% of the mean speed limit is less than w km/h.

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10. Suppose the speed limit of vehicles on the road at a local university is normally distributed
with mean 36.6 km/h and standard deviation 5.7 km/h.
a) Find the probability that the mean speed limit of 20 randomly selected vehicles is
between 35 km/h and 40 km/h.
b) A sample of 30 vehicles are selected at random. Determine the value of w such that
80% of the mean speed limit is less than w km/h.
Transcribed Image Text:10. Suppose the speed limit of vehicles on the road at a local university is normally distributed with mean 36.6 km/h and standard deviation 5.7 km/h. a) Find the probability that the mean speed limit of 20 randomly selected vehicles is between 35 km/h and 40 km/h. b) A sample of 30 vehicles are selected at random. Determine the value of w such that 80% of the mean speed limit is less than w km/h.
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