σ = 10,68% below 200; μ = ?
A)19.53
B)136
C)0.68
D)195.3
E)0.47

Question

Quizplus · Accepted Answer

The given information is a standard deviation (sigma) and a percentage below a certain value (200). We need to find the mean (mu). Since we do not have any information about the distribution, we can assume it is a normal distribution and use the formula: μ = X - σZ, where X is the value below which the percentage is given (200 in this case), σ is the standard deviation given (10.68%), and Z is the standard score corresponding to the given percentage. From a standard normal distribution table, we can find that the Z-score corresponding to a percentage of 10.68% below the mean is -1.24. Substituting these values in the formula, we get:
μ = 200 - (10.68/100)x1.24x10.68 = 195.3 (rounded to two decimal places)
Therefore, the correct answer is D.

σ = 10,68% Below 200; μ =