Question 2 In The Question 2 Tab Of The Excel File Follow The Instructions To Develop A Chi Square Distribution Table 1 (23.62 KiB) Viewed 62 times
Question 2 In The Question 2 Tab Of The Excel File Follow The Instructions To Develop A Chi Square Distribution Table 2 (37.36 KiB) Viewed 62 times
Question 2: In the Question 2 tab of the Excel file, follow the instructions to develop a Chi-square distribution table and graph. a. Set the degrees of freedom at 10. Use this value for the following questions. b. In a column, include a random variable (X) with values from 0 to 30 increased by 0.01 (X is a continuous random variable). c. In the next column, use the values of the random variable to include the probability density function for a Chi-square distribution. The mathematical expression is as follows, but you can use the Excel's function, chisq.dist () to get the probability density function.
k X2 e k 2²r (4) 22 f(x) = 0 otherwise f(x) = for x ≥ 0, f(x): probability density function k: degrees of freedom r(): gamma function d. Create a Chi-square distribution graph based on the numbers. The graph would look like the following: KO e. In the next column, include the probabilities of the random variable being less than or equal to the values of the random variable from 0 to 30, i.e., P(X ≤ x) f. In the next column, include the probabilities of the random variable being greater than the values, i.e., P(X 2 x) g. What is the probability of the random variable being equal to 10, i.e., P(X= 10)? h. What is the probability of the random variable being less than or equal to 10, i.e., P(X ≤ 10)? i. What is the probability of the random variable being greater than or equal to 10, i.e., P(X ≥10)?
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