The time that it takes for the next train to come follows a Uniform distribution with...

The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/10 where x goes between 1 and 11 minutes. Round answers to 4 decimal places when possible.

A)Find the probability that the time will be at most 7 minutes.

B)Find the probability that the time will be between 4 and 6 minutes.

C)The standard deviation is?

Expert Solution

orchestra answered 1 year ago

The time it takes for a Madonna concert to sell out follows a normal distribution with...

The time it takes for a Madonna concert to sell out follows a normal distribution with an average sell out time of 80 minutes with a standard deviation of 15 minutes. Fill in the values for the normal curve for the time to sell out. From left to right, the values would be: 2 points b.) Quantify, what percent of shows would they expect to sell out in 50 minutes or less? Write your answer as a percentage without the % symbol....

The time (in minutes) until the next bus departs a major bus depot follows a uniform...

The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 29 to 42 minutes. Let X denote the time until the next bus departs. (3%) The distribution is (pick one) ExponentialPoissonNormalUniform and is (pick one) discretecontinuous . (3%) The density function for X is given by f(x)= , with ≤X≤ . (3%) The mean of the distribution is μ= . (3%) The standard deviation of the distribution is σ= . (3%) The probability that...

Question 2 Suppose the waiting time of a bus follows a uniform distribution on [0, 20]....

Question 2 Suppose the waiting time of a bus follows a uniform distribution on [0, 20]. (a) Find the probability that a passenger has to wait for at least 12 minutes. (b) Find the mean and interquantile range of the waiting time. Question 3 Each year, a large warehouse uses thousands of fluorescent light bulbs that are burning 24 hours per day until they burn out and are replaced. The lifetime of the bulbs, X, is a normally distributed random...

The length of time junior high school students sleep per night follows an approximate uniform distribution...

The length of time junior high school students sleep per night follows an approximate uniform distribution from seven to eleven hours. Suppose we randomly select a junior high student. 1. Find the probability that the randomly selected student sleeps less than 8 1/2 hours per night. A. 0. 375 B. 0. 4705 C. 0. 7727 D. . 2143 2. On average, how long does a junior high school student sleep per night ? A. 9 hours B. 8 hours C....

An exponential distribution is formed by the time it takes for a person to choose a...

An exponential distribution is formed by the time it takes for a person to choose a birthday gift. The average time it takes for a person to choose a birthday gift is 41 minutes. Given that it has already taken 24 minutes for a person to choose a birthday gift,what is the probability that it will take more than an additional 34 minutes?

-Event time T follows an exponential distribution with a mean of 40 -Censoring time Tc follows...

-Event time T follows an exponential distribution with a mean of 40 -Censoring time Tc follows an exponential distribution with a mean of 25 -Generate 500 observations, with censoring flag indicating whether censoring happened before events Question: What do you think the percent of censoring should be? Show your calculation or reasoning.

Find -A continuous r.v. X follows uniform distribution , that is ? ~ ???????(?=0,?=1), Find the...

Find -A continuous r.v. X follows uniform distribution , that is ? ~ ???????(?=0,?=1), Find the following probability (a) P(0 < X < 0.3) (b) P(0.5 < X < 1) (c) Find the mean and variance of X - A continuous r.v. X follows the pdf: ?(?)= 2?3, 1≤?≤2. (a) Find the cdf of X for 1≤?≤2. (b) Find the mean and variance of X. (c) Find P(X = 1.22) -Suppose that in a particular traffic environment, the distribution of...

A random variable X follows the continuous uniform distribution with a lower bound of ?8 and...

A random variable X follows the continuous uniform distribution with a lower bound of ?8 and an upper bound of 11. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) f(x) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation c. Calculate P(X ? ?6). (Round intermediate calculations to 4 decimal places and final answer to...

A random variable X follows a uniform distribution on the interval from 0 to 20. This...

A random variable X follows a uniform distribution on the interval from 0 to 20. This distribution has a mean of 10 and a standard deviation of 5.27. We take a random sample of 50 individuals from this distribution. What is the approximate probability that the sample mean is less than 9.5

Suppose the average price of gasoline for a city during summer follows an uniform distribution with...

Suppose the average price of gasoline for a city during summer follows an uniform distribution with a lower bound of $3.50 per gallon and an upper bound of $3.80 per gallon? Show all calculation with formula and interpret your result for each problem to get full credit. Compute the mean and standard deviation. What is the probability a randomly chosen gas station charges more than $3.70 per gallon? What is the probability a randomly chosen gas station charges less than...

Question