An experiment consists of identical trials. Each trial can resultin one of two possible outcomes: success or failure. The trials are independent. The probability of success is constant from trial to trial. SetXto be the randomvariable that counts the number of trials necessary to obtain the first success. Note: Such anXis said to havegeometric distribution. For example, con-sider the experiment of rolling a fair six-sided die until the number6is displayed. The number of rolls needed to roll6follows a geometric distribution with. Required:
a. Find a formula for P(X = x).
b. Show that E(X) = 1/p.
c. Give an example of a geometric experiment.

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?