Question

Question Help Determine whether the graph to the right can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to representaremmal darbation, estimate the mean and standard deviation a Could the graph represent a variabile with a normal atribution? Explain your reasoning. Select the corect choice below and, if necessary, fut in the answer boxes win your choice. OA. No, because the graph crosses the x-axis. OB. No, because the graph is skewed on OC. No, because the graph is skewed right . D. Yos, the promote the properties of the normal dwroten. The main orony 17 and the standard deviation is boda (3) (Round to two decimal places as needed)

Answer 1

The graph do represents a normal distribution, there is no doubt in it. It is because of the shape it has, a proper bell shape.

Now mean of a normal distribution is the point in x-axis for which the curve attains it's maximum value. See here the peak of the curve is at x=4. Hence the mean is 4.

Now for a normal distribution with mean=m and standard deviation =s, the point of inflections are the m+s and m-s. Point of inflections are the points where side curves of the bell are.

Here the inflection points are 2 and 6. Here mean, m=4. So we get, m+s=6 and m-s=2. Hence s = 2. So standard deviation of the distribution is 2.

Answer: yes, the graph fulfills the properties of the normal distribution. The mean is approximately 4 and the standard deviation is about 2.

Hope the solution helps. Thank you.

(Please comment if you need any further help)