Score: 0.6 of 1 pt 1 of 6 (2 complete) HW Score: 18.33%, 1.1 of 6 pts Question H

Question

Score: 0.6 of 1 pt 1 of 6 (2 complete) HW Score: 18.33%, 1.1 of 6 pts Question Help Given the probability distributions shown to the right, complete the following parts Distribution A Distribution B P(X) 0.47 0.21 0.17 0.12 0.03 P(X) 0.03 0.12 0.17 0.21 0.47 a. Compute the expected value for each distribution b. Compute the standard deviation for each distribution c. Compare the results of distributions A and B 2 4 4 = 2.97 (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? = 1.179 (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? = 1.179 (Type an integer or decimal rounded to three decimal places as needed.) c. Use these results to compare distribution A and distribution B OA. Distribution A is right-skewed, distribution B is left-skewed 0 B. Distribution A is symmetric, distribution B is symmetric. ° C. Distribution A is symmetric, distribution B is right-skewed 0 D. Distribution A is left-skewed, distribution B is right-skewed O E. Distribution A is left-skewed, distribution B is symmetric.

Explanation / Answer

A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skeweddistributions. That’s because there is a long tail in the negative direction on the number line. The mean is also to the left of the peak.

A right-skewed distribution has a long right tail. Right-skewed distributions are also called positive-skew distributions. That’s because there is a long tail in the positive direction on the number line. The mean is also to the right of the peak.

We can see for distribution A the values decrease as x increase but opposite for B

So, A is right skewed, B is left skewed.

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