Could you solve the questions please? THANK YOU VERY MUCH!!!
The owners of the Burger Emporium are looking for new supplier of onions for their famous hamburgers. It is important that the onion slice be roughly the same diameter as the hamburger patty. After careful analysis, they determine that they can only use onions with diameters between 9 and 10 cm. Company A provides onions with diameters that are approximately normally distributed with mean 10.3 cm and standard deviation of 1.2 cm. Company B provides onions with diameters that are approximately normally distributed with mean 10.6 cm and standard deviation of 0.9 cm. Which company provides the higher proportion of usable onions? Justify your choice with an appropriate statistical argument. The time that it takes a randomly selected employee to perform a certain task is approximately normally distributed with a mean value of 120 seconds and a standard deviation of 20 seconds. The slowest 10% (that is, the 10% with the longest times) are to be given remedial training. What times qualify for the remedial training? 3 Sawit Genevieve High School has one of the best women's swimming team in the region. The 400-meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately Normally distributed with means and standard deviations as shown. Assuming that the swimmer's individual times are independent, find the probability that the total team time in the 400-meter freestyle relay is less than 220 seconds. Show your work! Swimmer Mean Std. dev. Wendy 65.2 2.8 Jill 58:0 3.0 Carmen 56.3 2.6 Latrice 54.7 2.7 At a raffle 1500 tickets are going to be sold. Ten tickets are drawn and awarded $50, five tickets are drawn and awarded 100, another 3 are given 200, and 2 tickets are given $500. 2) Make a Table for the probability Dist. b) What is the expected value for each person? What should the raffle charge?ABCD II Pop Quiz! 10000 Quiz 2 0000 3 0000 4 0000 50000 Pop Quiz It's time for a pop quiz! We hope you are ready. The quiz consists of 5 multiple-choice questions. Each question has four answer choices, labeled A through D. Now for the bad news: you will not get to see the questions. You just have to guess the answer for each one. 1. Bubble in an answer for each question for the pop quiz. Number correct = 2. Let X = number of correct guesses. Is this a binomial setting? Explain. 3. Calculate the probability of getting exactly 2 correct. Show your work. 4. Fill in the table below showing the probability of getting exactly X correct. # correct (X) 0 2 3 5 Probability 5. Find and interpret the mean of the distribution. Show your work. 6. Find and interpret the standard deviation of the distribution. 7. What is the probability of getting at most 3 correct? 8. What is the probability of getting 3 or more correct
