Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? OA. 0.1 3.50 6.9 Outcome Probability 0.3 0.25 0.2 0.15- 0.1- 0.05 0² 123456 Outcome (ii) Which graph shows the sampling distribution of the sample mean for n=2? O C. O D. Probability et more help. 0111 B. 0.23 Outcome 0.15 0.1 0.05- *** 123456 Outcome 0++++ Probability 0.23 0.15 123456 Outcome 0.1- 0.05- 123456 Outcome b. (i) For n=2, the mean is and the standard deviation is (Round to two decimal places as needed.) - Clear all 1.1 3.50 5.9 Outcome ^ 0.1 3.50 6.9 Outcome Check answer
Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? OA. 0.1 3.50 6.9 Outcome Probability 0.3 0.25 0.2 0.15- 0.1- 0.05 0² 123456 Outcome (ii) Which graph shows the sampling distribution of the sample mean for n=2? O C. O D. Probability et more help. 0111 B. 0.23 Outcome 0.15 0.1 0.05- *** 123456 Outcome 0++++ Probability 0.23 0.15 123456 Outcome 0.1- 0.05- 123456 Outcome b. (i) For n=2, the mean is and the standard deviation is (Round to two decimal places as needed.) - Clear all 1.1 3.50 5.9 Outcome ^ 0.1 3.50 6.9 Outcome Check answer
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let X denote the outcome of rolling a die.
a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the
sample mean for n = 2. (You can think of (i) as the population distribution you would get if you
could roll the die an infinite number of times.)
b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean
and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30.
What is the effect of n on the sampling distribution?
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OA.
0.1 3.50 6.9
Outcome
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(ii) Which graph shows the sampling distribution of the sample mean for n = 2?
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b. (i) For n=2, the mean is and the standard deviation is.
(Round to two decimal places as needed.)
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