A population of 6 students with scores in their entrance faculty examination test are normally distributed with values 75, 60, 55, 70, 50, 62. 1. What is the probability that a student will have a score of 68 or above? 2. What is the probability that a student scores between 60 and 63 marks in the exam? 3. How many samples of size 2 could be generated from the population without replacement? 4. Write down all the possible samples without replacement of size 2 and calculate their mean? 5. What is the mean of means of the samples generated in the previous question? 6. What is the standard deviation of the means of samples, calculate it by 2 different ways? 7. What is the probability that the mean score of the generated samples is less than 61?
A population of 6 students with scores in their entrance faculty examination test are
1. What is the probability that a student will have a score of 68 or above?
2. What is the probability that a student scores between 60 and 63 marks in the exam?
3. How many samples of size 2 could be generated from the population without replacement?
4. Write down all the possible samples without replacement of size 2 and calculate their mean?
5. What is the mean of means of the samples generated in the previous question?
6. What is the standard deviation of the means of samples, calculate it by 2 different ways?
7. What is the probability that the mean score of the generated samples is less than 61?
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