A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car picked at random is travelling at more than 100 km/hr?
Added by Jonathan G.
Step 1
The z-score is a measure of how many standard deviations an element is from the mean. The formula for calculating the z-score is: Z = (X - μ) / σ where: X is the value we are interested in (100 km/hr in this case), μ is the mean (90 km/hr), and σ is the Show more…
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A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a variance of 100 km/hr. What is the probability that a car picked at random is travelling at more than 100 km/hr?
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