The driving time for an individual from his home to his work is uniformly distributed between...
The time it takes a student to finish a chemistry test is uniformly distributed between 50 and 70 minutes. What is the probability density function for this uniform distribution? Find the probability that a student will take between 40 and 60 minutes to finish the test. Find the probability that a student will take no less than 55 minutes to finish the test. What is the expected amount of time it takes a student to finish the test? What is...
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M. (a) Find the probability density function for the random variable t. (Let t-0 represent 10:00 A.M.) (b) Find the mean and standard deviation of the the arrival times. (Round your standard deviation to three decimal places.) (с) what is the probability that you will miss the bus if you amve at the bus stop at 10:02 A M ? Round your answer...
The driving distance for professional golfer, Lion Woods, varies uniformly between 250 and 275 yards. (Round probabilities to four decimals and yardage to two decimals) a) What's the probability that one of his randomly selected drives is between 252 and 255 yards? b) What's the 36th percentile of the distribution of his driving distances? c) What's the standard deviation of his driving variance? d) 48% of his drives are longer than a specific distance. Find that specific distance. e) Approximately...
The price of a stock is uniformly distributed between $30 and $40. a. Write the probability density function, f(x), for the price of the stock. b. Determine the expected price of the stock. c. Determine the standard deviation for the stock. d. What is the probability that the stock price will be between $34 and $38?
A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 23 minutes, with a standard deviation of 3.7 minutes Assume the distribution of trip times to be normally distributed. Complete parts (a) through (e) below. Click here to view page 1 of the standard normal distribution table. view pag standard normal distribution table (a) What is the probability that a trip will take at least shour? (Round to four decimal...
Suppose that the commuting time on a particular train is uniformly distributed between 67 and 87 minutes. a. What is the probability that the commuting time will be less than 72 minutes? b. What is the probability that the commuting time will be between 70 and 82 minutes? c. What is the probability that the commuting time will be greater than 84 minutes? d. What are the mean and standard deviation of the commuting time?
Suppose that the commuting time on a particular train is uniformly distributed between 36 and 56 minutes. a. What is the probability that the commuting time will be less than 43 minutes? b. What is the probability that the commuting time will be between 44 and 52 minutes? c. What is the probability that the commuting time will be greater than 47 minutes? d. What are the mean and standard deviation of the commuting time?
Suppose that the commuting time on a particular train is uniformly distributed between 30 and 50 minutes. a. What is the probabiity that the commuting time will be less than 42 minutes? b. What is the probability that the commuting time will be between 36 and 43 minutes? c. What is the probability that the commuting time will be greater than 42 minutes? d. What are the mean and standard deviation of the commuting time?
Suppose that the commuting time on a particular train is uniformly distributed between 42 and 62 minutes. Bold a. What is the probability that the commuting time will be less than 49 minutes? Bold b. What is the probability that the commuting time will be between 45 and 55 minutes? Bold c. What is the probability that the commuting time will be greater than 58 minutes? Bold d. What are the mean and standard deviation of the commuting time?
Assume that Alice will arrive home this evening at a random time, uniformly distributed between 5pm and 6pm. Bob promises to call Alice “after 5pm”, which means Bob will wait an exponential amount of time after 5pm with expected value 30 minutes and then call Alice. Assume the time Alice arrives home is independent of the time when Bob will call. (a) Compute the probability that Alice will not miss Bob’s call. (b) Compute the probability that Bob will call...