For a Gaussian distribution, one standard deviation from the mean... (Rest of qu

Question

For a Gaussian distribution, one standard deviation from the mean... (Rest of question is in picture) PLEASE HELP!!! E Fora Gaussian distribution, one standard deviation from, the mean ±10 loto +1 wilTnclude 68.3 Map the results. In otherwords, the probability that a result will be within ±10f the mean is 68.3%. The ztab the right describes the z value and corresponding area under the Gaussian curve (probability). A z value of one corresponds to one standard deviation from the mean (either above or below). Using the supplied z table, determine the probability that a result will fall between +1 and +2 above the mean. State your answer as a percent Iz Area 0.0 0.0000 0.2 0.0793 0.4 0.1554 0.6 0.2258 0.8 0.2881 1.0 0.3413 1.2 0.3849 iz Area 1.4 0.4192 1.6 0.4452 1.8 0.4641 2.0 0.4773 2.2 0.4861 2.4 0.4918 2.6 0.4953 Number Probability- C) If 2500 marbles are sampled using the procedure described above, what percent of the time will there be between 1220 and 1280 red marbles sampled? This problem requires the use of the following relationship which relates the z value to the mean () number of red marbles sampled, the standard deviation (s), and the number of red marbles sampled (x). Because the selection is random, the sampling standard deviation (o) should be used as the standard deviation (s). Number

Explanation / Answer

P( +1sigma < Z < +2 sigma ) = 0.1587 - 0.0228 = 0.1359 ) 13.59%

c)

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