the breaking distance of a Honda CRV can be approximated by a normal distribution, where the mean is 53 meters and the standard deviation is 3.8 meters. Let x be a random variable that represents a braking distance. Find the probability that a randomly selected braking distance is less than 49 meters

Answer 1

Use z-scores.

Formula:

z = (x - mean)/sd

With your data:

z = (49 - 53)/(3.8)

I'll let you finish the calculation.

Once you find the z-score, use a z-table to determine your probability. (Remember that the problem is asking for "less than" 49 meters.)