Question

suppose driving speed (x) on ca 60 measured by the police follows a normal distribution with mean 65 and standard deviation 5. what is p(x > 65)? please report your answer with 1 decimal place.

Answer 1

The probability P(x > 65) for a normally distributed variable with a mean of 65 and a standard deviation of 5 is 0.5 or 50%.

Step-by-step explanation:

To calculate P(x > 65) when the driving speed (x) follows a normal distribution with a mean (μ) of 65 and a standard deviation (σ) of 5, we first recognize that P(x > 65) is the probability that a speed is greater than the mean. Because a normal distribution is symmetric, half the values fall below the mean and half above it. Therefore, the probability that a speed is above the mean in this case is 50%.

To express this in decimal form, P(x > 65) equals 0.5. The probability that any given speed measurement is greater than 65 mph is 0.5 or 50%.