The time X taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with µ = 10 minutes and σ = 2 minutes. (a) If five individuals fill out a form, what is the distribution of X¯, the average time taken by all five and find P(X <¯ 8). [2] (b) Suppose now that X is no longer normally distributed, but the mean and standard deviation are the same. However, 45 applicants fill the form. Answer the same questions as in a
The time X taken by a randomly selected applicant for a mortgage to fill out a...
Problem 4: (4 points) The time X taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with = 10 minutes and a = 2 minutes. (a) If five individuals fill out a form, what is the distribution of X, the average time taken by all five and find P(X <8). (2) (b) Suppose now that X is no longer normally distributed, but the mean and standard deviation are the same....
The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a Normal distribution with mean value 10 min and standard deviation 2 min. What is the probability that the amount of time taken is at most 12 min?
4. -/1 points DevoreStat9 5.E.051. My Notes Ask Your Teacher Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 8 min and standard deviation 3 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal...
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 a randomly selected rat spends longer than 1.6 minutes to complete it. (b) We randomly take a sample of 100 rats. Find the probability that the average completion time for the sampled rats is smaller than 1.6 minutes. (c) We randomly take a sample of 4 rats. Find the probability that...
bution The time required to fill a prescription at a local pharmacy is at is normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes. a. What is the probability that a randomly selected customer experiences a wait-time of less than 5 minutes? b. Find the wait time that defines the upper 1 percent. bution The time required to fill a prescription at a local pharmacy is at is normally distributed with a mean of...
Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 32 minutes. c. Find the 75th percentile...
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 37 minutes. c. Find the 85th percentile...
Los Angeles workers have an average commute of 32 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 29 minutes. c. Find the 90th percentile...
Let x denote the time taken 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 218 to 242 minutes? Round answer to 4 decimal places.
Let x denote the time taken 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 221 to 240 minutes? Round your answer to four decimal places.