According to an online​ source, the average shower in a country lasts 8.8 minutes. Assume that this is correct and assume the standard deviation of 2minutes. Complete parts​ (a) through​ (c) below. a. Do you expect the shape of the distribution of shower lengths to be​ Normal, right-skewed, or​ left-skewed? Explain your reasoning. The distribution will be (right skewed, left skewed or approximately normal) because the values will be (distributed symmetrically, mostly small but there will be a few large numbers or mostly large but there will be mostly small values) b. Suppose we survey a random sample of 100 people to find the length of their last shower. We calculate the mean length from this sample and record the value. We repeat this 500 times. What will be the shape of the distribution of these sample​ means? The distribution will be (right-skewed, left-skewed or approximately Normal) because the values will be (mostly large but there will be a few very small values, distributed symmetrically or mostly small but there will be a few very large values.) c. Refer to part​ (b). What will be the mean and standard deviation of the distribution of these sample​ means? The mean will be ____ (minutes2 or minutes) and the standard deviation will be ____ (minutes or minutes2)