The waiting time at a railroad crossing follows an exponential distribution, with an average time of 8 minutes, determining the probability of waiting between 2 and 5 minutes.

SAT exam scores are normally distributed with μ = 500 and σ = 100. Use your calculator to find the probability that a randomly chosen test taker will score between a 550 and 750. Use your calculator to find the percentage of test takers that will score at least a 675 on the SAT.

The time between goals (in minutes) for a professional soccer team during a recent season can be approximated by an exponential distribution with a Complete parts (a) and (b) 70 a. What is the probability that the time for a goal is no more than 48 minutes? (Round to four decimal places as needed.) b. What is the probability that the time for a goal is 489 minutes or more? (Round to four decimal places as needed.) CHED

A subway train arrives every eight 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. Find the probability that the commuter waits less than two minutes.  Write  your answer as an exact decimal.

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:a. Fails in less than 10,000 hours. (Round your answer to 4 decimal places.)   b. Lasts more than 120,000 hours. (Round your answer to 4 decimal places.)   c. Fails between 60,000 and 100,000 hours of use. (Round your answer to 4 decimal places.)   d. Find the 90th percentile. So 10% of the TV sets last more than what length of time? (Round the value to nearest whole number.)

The lifetime (in years) of a specific helicopter part follows an exponential distribution whoseexpectation is 4 years.(a) What is the probability that one of these parts will stay operational for more than 4.4 years?(b) What is the probability that one of these parts will stay operational between 2.5 and 4 years.

2- Rainfall duration at a location along the Gulf Coast follows an exponential distribution with a mean value of 2.725 hours. What is the probability that a duration of a particular rainfall event is between 135 to 190 minutes?

On average, TV crash after 17,000 hours of continuous use. Although the time for the TV to crash is random, researchers have found that the duration until the TV crashes follows an exponential probability distribution. a. What is the mean and standard deviation of the duration of the TV crash?b. What is the probability of a TV crash with a duration of use between 17,000 and 50,000 hours?

The number of miles that a particular car can run before its battery wears out is exponentially distributed with a mean of 13885 miles. a. What is the probability that the car battery will be dead in less than 12797 miles? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 89 percentile longevity (mileage) of the battery. Answer in exact fraction, or rounded to at least 4 decimal places. miles

Suppose that the value of a stock varies each day from $12.22 to $45.34 with a uniform distribution.Given that the stock is greater than $21, find the probability that the stock is more than $31. Give your answer accurate to four decimal places.