Physical activity of obese young adults. In a study on thephysical activity of young adults, pediatric researchers measuredoverall physical activity as the total number of registeredmovements (counts) over a period of time and then computed thenumber of counts per minute (cpm) for each subject (InternationalJournal of Obesity, Jan. 2007). The study revealed that the overallphysical activity of obese young adults has a mean of μ = 320 cpm μ= 320   cpm and a standard deviation of σ = 100 c p m . σ = 100 c pm . (In comparison, the mean for young adults of normal weight is540 cpm.) In a random sample of n = 100 n = 100 obese young adults,consider the sample mean counts per minute, ¯ x x ‾ . Describe thesampling distribution of ¯ x x ‾ . What is the probability that themean overall physical activity level of the sample is between 300and 310 cpm? What is the probability that the mean overall physicalactivity level of the sample is greater than 360 cpm?