1. A gas station opens at a time which is Normally distributed with the mean of...
The number of minutes after 10 am that a bus leaves the station is normally distributed with a mean of 7 minutes and a standard deviation of 3 minutes. What time should a person reach the bus station to have a 50-50 chance of catching the bus?
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with a rate of 10 cars per hour. Calculate the probability that 2 to 4 (inclusive) cars will arrive at this gas station between 10:00 am and 10:30 am. What are the mean and standard deviation of the distribution you have used to answer part a?
The length of time listeners tune in to a radio station is normally distributed with a mean of 15.0 minutes and a standard deviation of 3.5 minutes. 80% of listeners are tuned in for less than how many minutes? A. 20.58 B.15.74 C.20.58 D.17.96
The amount of time Americans commute to work is normally distributed with mean of 45 minutes and a standard deviation of 15 minutes. According to the Empirical Rule, approximately 95% of Americans commute between ["20.33", "30", "0", "15"] and ["60", "90", "75", "69.67"] minutes
A gas station is providing the state auto inspection service for the general public. As soon as the gas station opens at 7AM, cars arrive for inspection following a Poisson process with rate λ (arrivals/minute). (a) Assume that each inspection takes a constant amount time, namely c (minutes). Let W2 denote the random time that the second vehicle waits between arriving and the time at which its inspection starts. What is the probability that W2 = 0? What is the...
The time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. What percent of customers require less than 32 minutes for a simple haircut? a. 95.99% b. 97.72% c. 4.01% d. 45.99%
2. The time it takes you to come to school is approximately normally distributed with a mean of 45 minutes and a standard deviation of 3 minutes. What time must you leave home in the morning so that you are 95% sure of arriving at school by 9:00 AM? (5 pts.) ISCQ5 STAT120SLW15
Assume that the attention span of young adults is normally distributed with a mean focus time of 9.0 minutes and a standard deviation of 2.4 minutes. Find P45 , which is the attention span separating the bottom 45% from the top 55%
Time needed to complete a test normally distributed with a mean of 90 minutes and a standard deviation of 20 minutes. if the top 5% are given a certificate, how fast must you complete the test to be eligible? Keep getting 122.9, but this is wrong according to my prof. Thanks!
3. The time needed to complete a final examination is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less? b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (i.e., between 60 and 75 minutes)? c. What is the longest time in minutes it...