John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes. What is the probability that the commute time for a randomly selected day will be more than 30 minutes?

Question

Quizplus · Accepted Answer

To find the probability that the commute time is more than 30 minutes, we calculate the z-score: z = (30 - 26.7) / 5.1 = 0.6471. Using the standard normal distribution table, the probability of z being less than 0.6471 is approximately 0.7422. Therefore, the probability of the commute time being more than 30 minutes is 1 - 0.7422 = 0.2578.

John's Commute Time to Work During the Week Follows the Normal