In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.3. Answer parts (a)-(d) below.(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 493.The probability that a randomly selected medical student who took the test had a total score that was less than 493 is.(Round to four decimal places as needed.)(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 500 and 515.The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 is.(Round to four decimal places as needed.)(c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 527.The probability that a randomly selected medical student who took the test had a total score that was more than 527 is(Round to four decimal places as needed.)(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.O A. None of the events are unusual because all the probabilities are greater than 0.05.O B. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.O C. The event in part (c) is unusual because its probability is less than 0.05.O D. The event in part (a) is unusual because its probability is less than 0.05.

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Answered: In a recent year, the total scores for…

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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 314. The test scores of four students selected at random are 1870, 1220, 2190, and 1340. Find the z-scores ← that correspond to each value and determine whether any of the values are unusual. F1 The z-score for 1870 is (Round to two decimal places as needed.) The z-score for 1220 is. (Round to two decimal places as needed.) The z-score for 2190 is (Round to two decimal places as needed.) The z-score for 1340 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. (Use a comma to separate answers as needed.) OB. None of the values are unusual. F2 80 F3 000 000 F4 F5 ^ MacBook Air F6 & A D F7 * DII F8 DD F9 ) J 운 F10 I a F11 + Next F12 delete
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1511 and the standard deviation was 312. The test scores of four students selected at random are 1910, 1280, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The Z-score for 2240 is (Round to two decimal places as needed.) The Z-score for 1420 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice OA. The unusual value(s) is/are (Use a comma to separate answers as needed.) OB. None of the values are unusual.
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The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.

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