[6] 3. Let z be the amount of time (in minutes) that a particular San Francisco...
A particular professor never dismisses class early. Let x denote the amount of time past the class end time (in minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 minutes. The density curve is shown in the following figure. Density 10 Time (minutes) (a) What is the probability that at most 4 minutes elapse before dismissal? (b) What is the probability that between 4 and 7 minutes...
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77. A subway train on the 4 line arrives every sight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive.The time follows a uniform distribution. 1. Define the random variable. X_ 2. Х~ 3. Graph the probability distribution 7. 8. Find the probability that the commuter waits less than one minute. Find the probability that the commuter waits between three and four minutes. 9. Siorty percent of...
The amount of time it takes Josslyn to wait for the train is continuous and uniformly distributed between 4 minutes and 11 minutes. What is the probability that it takes Josslyn between 5 and 6 minutes given that it takes less than 8 minutes for her to wait for the train?
The amount of time it takes Josslyn to wait for the train is continuous and uniformly distributed between 4 minutes and 11 minutes. What is the probability that it takes Josslyn between 5 and 6 minutes given that it takes less than 8 minutes for her to wait for the train?
Suppose you're waiting for train A and your friend train B. Let X denote the wait time for train A, Y the wait time for train B. Both X and Y are in minutes. Suppose that the two wait times have a joint probability density function p(x,y) = 12e-4x-3y. Suppose you're only willing to wait one hour for a train. What is the probability that you'll board your train after your friend boards hers? What is the probability that train...
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?
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0 and 15 minutes, inclusive. 1. What is the standard deviation of the distribution? Q is normally distributed with a mean of 100 and a standard deviation of 15. 1. What is the probability that a person chosen at random has an IQ less than 80?