Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let X = the average of the 49 races. Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) Find the median of the average running times.

Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard deviation given by 29 lb. If 3 women are randomly selected, find the probability that they have a mean weight below 113 If 85 women are randomly selected, find the probability that they have a mean weight below 113

Approximately​ 95% of the observations fall within the interval

photo included

Find the are of the shaded region. The graph depicts the iq scores of adults and those normally distributed with a mean of 100 and a standard deviation of 15.    The graph is shaded ro the right with a number on the bottom 90

The histogram has a longer tail/appears roughly the same/has a longer right tail so the distribution of the data is not skewed/skewed to the left/ skewed to the right

If you buy one ticket everyday for 365 days, find the mean and standard deviation for the numbers of winning tickets in such groups of 365 tickets. Round to three decimal places

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.) 0.6 a G

Find the area of the shaded region. The graph to the right depicts IQ scores of adults and those scores are normally distributed with a mean of 100 and a standard deviation  of 15 The area of the shaded region is

Nicole has a popular blog about cooking and nutrition and regularly posts articles and videos. She has collected data about the length of time that viewers spent watching two of her recent videos. For each video, she recorded the amount of time (in minutes) that each of 102 viewers spent watching it. The histograms below show the distributions of the two data sets. Each histogram shows time (in minutes) on the horizontal axis and the number of viewers on the vertical axis. The means and standard deviations for the data sets are also given. Video 1 Video 2 25- 25- 20- 20- 15- 15- 10- 10- 5- 5- 0- 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Video 1 mean: 52.05 minutes Video 2 mean: 44.25 minutes Video 1 standard deviation: 12.54 minutes Video 2 standard deviation: 8.16 minutes Nicole wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule…