Let Z be a random variable of a standardized normal distribution with a mean of 0...
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Let Z be a random variable of a standardized normal distribution with a mean of 0 and a standard (a) deviation of 1. Correct your final answers to 4 decimal places. () Find the probability that Z< -0.78. (1 mark) (ii) Find the probability that -1.45 <Z<0.45 (1 mark) (b) In a class, the test marks (X) of students are normally distributed with a mean of 76.7 and a standard deviation of 12.3. Suppose a student is randomly selected from the class. () Find the probability that the test mark of the selected student is at least 74. Correct your final answer to 4 decimal places. (2 marks) (ii Find the probability that the test mark of the selected student is between 78 and 90. Correct your final answer to 4 decimal places. (2 marks) If 7.64% of students failed in the exam, find the passing mark of this test. Correct your final (iii) answer to an integer (2 marks) Let Z be a random variable of a standardized normal distribution with a mean of 0 and a standard (a) deviation of 1. Correct your final answers to 4 decimal places. () Find the probability that Z< -0.78. (1 mark) (ii) Find the probability that -1.45 <Z<0.45 (1 mark) (b) In a class, the test marks (X) of students are normally distributed with a mean of 76.7 and a standard deviation of 12.3. Suppose a student is randomly selected from the class. () Find the probability that the test mark of the selected student is at least 74. Correct your final answer to 4 decimal places. (2 marks) (ii Find the probability that the test mark of the selected student is between 78 and 90. Correct your final answer to 4 decimal places. (2 marks) If 7.64% of students failed in the exam, find the passing mark of this test. Correct your final (iii) answer to an integer (2 marks)
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Related Book For
Understanding Basic Statistics
ISBN: 978-1111827021
6th edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
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