Give a explain please!!! Question 1 Which of the following statements is correct
ID: 2931177 • Letter: G
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Give a explain please!!!
Question 1 Which of the following statements is correct? a) A normal distribution can be converted to a standard normal distribution with a simple algebra. b) Any non-normal distribution can be converted to a standard normal distribution with a simple algebra. c) Any uniform distribution can be converted to a standard normal distribution with a simple algebra. d) Any uniform distribution can be converted to a student t distribution with a simple algebra. Question 2 Which statement is correct? a) Mean is a measure of central location. b) Median is a measure of variability c) Variance is a measure of central location. d) None of above is correct. Question 3 Which statement is correct? a) Chebysheff's theorem applies to bell shape histogram only b) The Empirical rule applies to bell-shaped histogram. c) The Empirical rule applies to all shaped histogram. d) None of above is correct. Question 4 Which of the following statements about discrete and continuous random variables is correct? a) Continuous random variable is one whose values are countable b) Discrete random variable is one that can take on a countable and uncountable number of values. c) Discrete random variable is one that can take on a countable number of values. d) None of above is correct.Explanation / Answer
1) Correct statement is: Option (a) A normal distribution can be converted to a standard normal distribution with a simple algebra. As, if X ~ N(a,b) then (X - a)/b ~ N(0,1). (Ans).
2) The correct statement is: Option (a) Mean is a measure of central location. (Ans).
3) Chebyshev's theorem applies to all shaped histogram and Empirical rule applies to only bell-shaped histogram. Hence, Option (b) is the correct choice. (Ans).
4) Continuous variables take uncountable number of values, whereas, discrete variables take only countable number of values. Hence, Option (c) is the correct choice. (Ans).
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