1. A gas station opens at a time which is Normally distributed with the mean of...
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...
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
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...
The amount of time Americans commute to work is normally distributed with mean of 45 minutes and a standard deviation of 15 minutes. The 25% of Americans with the LONGEST commuting times all get to work in more than how many minutes? You can use two decimal places of accuracy.
The time spent to arrive to the university is normally distributed with mean 10 minutes and standard deviation 3. If classes start at 9:00 am, what time should students leave home so they will be late only 9% of the time? 10 minutes before 8 am b. 25 minutes before 8 am c.14 minutes before 8 am d. None Five motors (numbered 1 through 5) are available for use, two motors are defective. Motor 1 and 2 me from supplier...
The time needed to complete a final examination in a particular college course 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? C) Assume that the class has 60 students and that the...
QUESTION 2:
Consider a check–out station at a small store with customer
arrivals described by a Poisson process with intensity ? = 10
customers per hour. There are two service team members, Tom and
Jerry, working one per shift. In Tom’s shift, the service times are
exponentially distributed with the mean time equal to 3 minutes,
while for Jerry service times are exponentially distributed with
the mean time equal to 5 minutes.
1. Find the mean queue length during the...