The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution.(a) What is the probability you will make it through security in exactly 26 minutes? (Round your answer to three decimal places.).562(b) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.).191(c) What is the probability it will take more than 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.)246(d) What is the probability it will take between 15 and 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.)(e) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 16 minutes from the time you clear security until you reach your gate, what is the probability you will miss your flight? (Round your answer to three decimal places.)|226

Define the random variable, X : The time required to pass through security screening. Given, X have…

Answered: The time required to pass through…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 time T, in minutes, between the arrival of two successive patients in an emergency room can be modeled as an exponential distribution with mean 20 minutes.Determine the following probabilities:(a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25). NOTE: Please explain each part, so the problem can be used as a Study Guide
Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F)= 0.20. P(E or F) =| (Simplify your answer.)
An economist has observed that the time between recessions has an exponential distribution with mean 100 months. Find the probability that the time between recessions will be located in the interval (50, 200) months given that it exceeds 100 months. (Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.
D. 286/973; 0.294
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 43 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 43. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. -3 -- 3. -1.5 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement. 2.
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x for x ≥ 0 What is the mean time between telephone calls? What is the probability of 30 seconds or less between telephone calls? What is the probability of 1 minute or less between telephone calls? What is the probability of 5 or more minutes without a telephone call?
When you are asked to calculate the probability that something is going to occur in the future (poisson), what equation do you use?
Assuming a population is normally distributed, calculate the probability that a random member of the population falls between 3 standard deviations below the mean and 1 standard deviation below the mean. In other words in mathematical notation: P(-3 < z < -1) Enter your answer in decimal form. For example, 75% should be entered as 0.75.
If we are performing a two-tailed test of whether µ = 100, the probability of detecting a shift of the mean to 105 will be ________ the probability of detecting a shift of the mean to 110. a. equal to b. less than c. greater than d. not comparable to

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