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 exam for these 25 students is no more than 1.4 hours?
let x be the random variable that represent the lenght of time it takes a student...
let x be a random variable that represents the length of time it takes a student to complete a MTH 23 exam.It was found that x has an approximately normal distribution with mean =1.5 hours and standard deviation =.25 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 student are selected at random. What is the probability that the means time of completing the...
4. Let x be a random variable that represents the length of time it takes a student to complete a chemistry lab project. From long experience, it is known that x has a normal distribution with mean 1 3 .6 hours and standard deviation - 0.5. Find the chance that a student will take more than 4.5 hours to complete a lab project. 5. Using the information from #4, calculato the chance that the mean length of time for a...
Suppose the distribution of Y = the amount of time it takes for a randomly selected student to complete a particular exam is normal with mean 43.7 minutes and standard deviation 4.6 minutes. Suppose those students who go past a 50 minute time limit are tortured by Dr. Robinson’s singing until they complete the exam. a. Show that the probability of a randomly selected student avoiding any torture is .91459. (6 decimals) b. If 10 students take the exam, what...
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 84 and 107 minutes. One student is selected at random a. the probabilty density fuction f(x) b.The student completes the quiz in exactly 92.35 minutes. c.The student completes the quiz in a time between 89 and 97 minutes. d. Find the longest completion time, a such that a student would be in the quickest 15% of test takers. (Ex. find a such...
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 24 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 187 minutes? Round your answer to four decimal places. Attach File Browse My Computer Browse Dropbox Browse Content Collection QUESTION 5 The GPAs of all students enrolled...
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 158 minutes? Round answer to 4 decimal places.
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 162 minutes? Round your answer to four decimal places.
The time it takes a randomly selected rat to complete a maze is normally distributed with mean 1.5 minutes and standard deviation 0.35 minutes. (a) Find the probability that the completion time from a randomly selected rat is shorter than 1.4 minutes. (show work) (b) Find the probability that the average time from 4 randomly selected rats is shorter than 1.4 minutes. (show work) (c) Find the probability that the average time from 100 randomly selected rats is shorter than...
The Length of time required by students to complete a one hour exam is a random variable with a density function give by: f(x) = (3/2)x^2 + x (0<=x<=1) 0 elsewhere a. What is the probability that a randomly selected student will finish in less than 45 minutes? b. If 40 students are chosen at random, what is the probability that the sample average will be less than 45 minutes? c. If instead the sample size had been 10, could...