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PROBABILITY DISTRIBUTIONS In a traffic study of a street in Ipswich, QLD, the following information was...

PROBABILITY DISTRIBUTIONS

In a traffic study of a street in Ipswich, QLD, the following information was gathered.

- Cars passed by at an average rate of 300 cars per hour.

- The speed of the cars was normally distributed, with an average speed of 58 km/h and a variance of 2 km2/h2.

Based on this information, you are asked to solve the likelihoods of certain events happening. For each question clearly indicate the random variable and the distribution it follows, solve by hand and check your answer using MATLAB.

1. What is the probability that there is less than 10 seconds time difference between one car and the next?

2. What is the probability that more than 3 cars pass by in a minute?

3. The speed limit of the road is 60 km=h. What is the probability that a random car is speeding?

4. What is the probability that there are no speeding cars within a 10 minute period?

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Expert Solution

milcah answered 5 months ago
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