The time, X (in hours), it takes for Professor Smith to grade a set of papers...
The time, X (in hours), it takes for Professor Smith to grade a set of papers follows a uniform distribution on the interval [2,7]. He begins to grade at 4:00PM and continues until he finishes.
What is the probability that X is within 1 standard deviation of its mean value?
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The time, X (in hours), it takes for Professor Smith to grade a
set of papers...
let x be the random variable that represent the lenght of time it takes a student...
let x be the random variable that represent the lenght of time it takes a student to complete maths 23 exam. it was found that x has an approximately normal distribution with mean 1.5 hours and standard deviation =025 hours. (a) what is the probability that it takes at least 1.4 hours for a randomly selected student to complete the exam? (b) suppose 25 students are selected at random,what is the probability that the mean time x of completing the...
1. A professor grades students on a normal distribution. For any grade x, based on a...
1. A professor grades students on a normal distribution. For any grade x, based on a course mean and standard deviation developed over years of testing, the following scale applies A': course grade 1.6 standard deviation above the mean 'B': course grade between 0.45 and 1.6 standard deviations above the mean C': course grade t 0.45 standard deviations from the mean. Assuming "large sample size", what percentage of students will receive an A in course? 2.61 % 3.78 % 4.95...
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) =1/25 where x goes between 6 and 31 minutes. Round answers to 4 decimal places when possible. This is a Correct distribution. It is a Correct distribution. The mean of this distribution is 18.50 Correct The standard deviation is Incorrect Find the probability that the time will be at most 28 minutes. Incorrect Find the probability that the time will be between 12...
A class has 136 students. The time it takes to grade one exam paper is on...
A class has 136 students. The time it takes to grade one exam paper is on average 3 minutes and has standard deviation 90 seconds. Estimate the probability that it will take less than 7 hours for one person to grade all of the exams.
A study by Professor Smith of University of South Carolina showed that students taking Business Statistics...
A study by Professor Smith of University of South Carolina showed that students taking Business Statistics I spent an average of 5 hours studying for the midterm exam, with a standard deviation of 2 hours and it follows the normal probability distribution. (a) Find the portion of the students who spent between 5 and 6.5 hours studying for the midterm. (b) Find the portion of the students who spent more than 6.5 hours studying for the midterm. (c) Find the...
A study by Professor Smith of University of South Carolina showed that students taking Business Statistics...
A study by Professor Smith of University of South Carolina showed that students taking Business Statistics I spent an average of 5 hours studying for the midterm exam, with a standard deviation of 2 hours and it follows the normal probability distribution. (a) Find the portion of the students who spent between 5 and 6.5 hours studying for the midterm. (b) Find the portion of the students who spent more than 6.5 hours studying for the midterm. (c) Find the...
4. A study by Professor Smith of University of South Carolina showed that students taking Business...
4. A study by Professor Smith of University of South Carolina showed that students taking Business Statistics I spent an average of 5 hours studying for the midterm exam, with a standard deviation of 2 hours and it follows the normal probability distribution (a) Find the portion of the students who spent between 5 and 6.5 hours studying for the midterm (b) Find the portion of the students who spent more than 6.5 hours studying for the midterm. (c) Find...
"Time headway" in traffic flow is the elapsed time between the time that one car finishes...
"Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form. k. X > 1 f(x) = 6 10 X51 (a)...
The length of time it takes to find a parking space at 9 A. M. follows...
The length of time it takes to find a parking space at 9 A. M. follows an unknown distribution with a mean of 5 minutes and a standard deviation of 2 minutes. When the mean is significantly greater than the standard deviation, which of the following statements is true? (Select all that apply.) The data cannot follow the uniform distribution. The data cannot follow the exponential distribution. The data cannot follow the normal distribution.
A particular professor never dismisses class early. Let x denote the amount of time past the...
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...
1. A professor grades students on a normal distribution. For any grade x, based on a course mean and standard deviation developed over years of testing, the following scale applies A': course grade 1.6 standard deviation above the mean 'B': course grade between 0.45 and 1.6 standard deviations above the mean C': course grade t 0.45 standard deviations from the mean. Assuming "large sample size", what percentage of students will receive an A in course? 2.61 % 3.78 % 4.95...
4. A study by Professor Smith of University of South Carolina showed that students taking Business Statistics I spent an average of 5 hours studying for the midterm exam, with a standard deviation of 2 hours and it follows the normal probability distribution (a) Find the portion of the students who spent between 5 and 6.5 hours studying for the midterm (b) Find the portion of the students who spent more than 6.5 hours studying for the midterm. (c) Find...
"Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form. k. X > 1 f(x) = 6 10 X51 (a)...
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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