A motorcyclist traveling at 30.7 km/h accelerates after passing a sign post marking the city limits. If it takes 4.9 seconds for
the motorcyclist to reach 120 km/h, how far has he traveled (in meters) past the sign post?
2 answers:
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Answer:
0.32493
Step-by-step explanation:
We have been given that 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.
We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.
First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.
Now, we need to find the probability between z-score of 1.43 and 0.25.
.
Using formula , we will get:
Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.