BUSA 2000: Statistical Analysis for Business Topic #6 (Continuous Probability Distributions) Problem Set Directions: Complete these problems as many times as necessary, that is, until you feel...

All questions attached ( I’m at work constantly and do not have time to do it)


BUSA 2000: Statistical Analysis for Business Topic #6 (Continuous Probability Distributions) Problem Set Directions: Complete these problems as many times as necessary, that is, until you feel confident in your answers. Then, submit your final answers in Quizzes on our class MyCourses website before the assigned due date/time. You may only submit your final answers once. When submitting your final answers, be sure to follow any & all of the rounding & answer reporting rules that appear on the screen. Not following these directions is likely to result in a lowered grade or possibly even a grade of 0%. 1. Trans American Flight 209 flies from Los Angeles to Chicago. The flight time follows a uniform probability distribution between 225 minutes and 245 minutes. Answer the following questions. (a) What is the average flight time? (b) What is the probability the flight will take more than 240 minutes? (c) What is the probability the flight will take less than 235 minutes? (d) What is the probability the flight will take between 230 and 240 minutes? (e) What is the probability the flight will take between 233 and 237 minutes? 2. Given that z is a standard normal random variable, compute the following probabilities. (a) P (z ≤ 1.20), the probability z is less than or equal to 1.20. (b) P (z ≥ 0.44), the probability z is at least 0.44. (c) P (−1.57 ≤ z ≤ 0.00), the probability z is between -1.57 and 0.00. 3. In January 2009, Money magazine reported that the average cost of visiting a hospital emergency room for a sore throat was $328. Assume that the cost for this type of hospital visit is normally distributed with a standard deviation of $92. Answer the following questions. (a) What is the probability that the cost will be more than $500? (b) What is the probability that the cost will be less than $250? 4. The average time it takes the loading dock workers at the Not-So-Speedy Shipping Company to load a delivery truck full of packages is 120 minutes. Given that loading time follows an exponential probability distribution, answer the following questions. (a) What is the probability workers will load a truck in 60 minutes or less? (b) What is the probability workers will load a truck in 150 minutes or less? (c) What is the probability workers will load a truck in 90 minutes or more? (d) What is the probability workers will load a truck in 120 minutes or more? (e) What’s the probability workers load a truck in between 100 & 200 minutes? 5. Delta Flight 1182 flies from Atlanta to Miami. The flight time follows a uniform probability distribution between 120 minutes and 155 minutes. Answer the following questions. (a) What is the average flight time? (b) What is the probability the flight will take more than 130 minutes? (c) What is the probability the flight will take less than 138 minutes? (d) What is the probability the flight will take between 120 and 155 minutes? (e) What is the probability the flight will take between 128 and 132 minutes? 6. Given that z is a standard normal random variable, compute the following probabilities. (a) P (z ≤ 1.00), the probability z is less than or equal to 1.00. (b) P (z ≥ 2.01), the probability z is at least 2.01. (c) P (−1.00 ≤ z ≤ 1.00), the probability z is between -1.00 and 1.00. 7. In April 2019, according to KidsHealth.org, the average birth weight in the U.S. was 6.6 pounds. Assume that this variable is normally distributed with a standard deviation of 1.1 pounds. Answer the following questions. (a) What is the probability that a baby will weigh less than 6 lbs? (b) What is the probability that a baby will weigh more than 8 lbs? 8. The average time it takes the loading dock workers at the Quite Speedy Shipping Company to load a delivery truck full of packages is 22 minutes. Given that loading time follows an exponential probability distribution, answer the following questions. (a) What is the probability workers will load a truck in 10 minutes or less? (b) What is the probability workers will load a truck in 30 minutes or less? (c) What is the probability workers will load a truck in 20 minutes or more? (d) What is the probability workers will load a truck in 35 minutes or more? (e) What’s the probability workers load a truck in between 15 & 25 minutes?