a)
P(X=9) =0 (since point probability on uniform distribution is 0)
b)
P(7<X<10 )=(10-7)/(14-6)=0.375
Andrew finds that on his way to work his wait time for the bus is roughly...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 11 and 23 minutes. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Preview (Round answer to at least 4 Find the probability that a person waits between 11 and 23? decimal places)
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 7 minutes and 18 minutes. What is the probability that it takes Isabella more than 14 minutes to wait for the bus? Round your answer to three decimal places.
5. Suppose that a person commutes to work by bus. The person arrives at the bus stop at the same time every day. The waiting time is uniformly distributed from 5-10 minutes. a) What is the probability that the person waits between 5 minutes and 15 seconds to 7 minutes and 30 seconds? b) What is the probability that the person waits more than 7 minutes and 45 seconds?
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 4 minutes and 20 minutes. What is the probability that it takes Isabella more than 13 minutes to wait for the bus? Round your answer to three decimal places.
Suppose that the time students wait for a bus can be described by a uniform random variable X, where X is between 20 minutes and 30 minutes. (a) What is the probability, P that a student will wait between 20 and 22 minutes for the next bus? P = (b) What is the probability, P that a student will have to wait at least 22 minutes for the next bus? P=
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?
For a passenger who arrives at a certain bus stop at a random moment in time, the time spent waiting for the bus is uniformly distributed from 0 to 9 minutes. What is the probability someone who arrives at this bus stop at a random moment will wait at least 7 minutes for the bus? (Round to the nearest tenth of a percent.)
Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a) What is the probability that you have to wait longer than 10? (b) Given you already waited 10 minutes, what is the probability that you have to wait for another 10 more minutes? (c) Let X be exponentially distributed with parameter 1/u. Prove that P(X >a+b|X >a)=P(X >b)
If a person takes the bus 30 times a month commuting between his dorm and the Dining Hall. It takes the bus 10 minutes to run one loop. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval [0, 10]. Suppose that waiting times on different occasions are independent. What is the standard deviation of the mean waiting time in minutes of a month? Round your answer to three decimal digits. What is the...
A restaurant owner finds that the time customers wait between sitting down and their server arriving is a random variable distributed expo nentially with an average of 2.5 minutes. What is the probability that a customer will wait for their for more than 4 minutes? server Consider the situation in the previous problem. The owner wishes to post a sign saying that customers who have waited longer then M minutes will receive a free meal. How long should M be...