Let 0.3 be the proportion of smart phone owners who have a given app. For a particular smart phone​ owner, let x=1 if they have the app and x=0 otherwise. For a random sample of ​70 owners, complete parts a through e below. 1. State the population distribution​ (that is, the probability distribution of X for each​ observation). ​P(X=​1) =? and ​P(X=​0) =?
2. The proportion for x=1 is ? and the proportion for x=0 is ?
3. Find the mean of the sampling distribution of the sample proportion who have the app among the 70 people.
4. Find the standard deviation of the sampling distribution of the sample proportion who have the app among the 70 people.
5. Explain what the standard deviation in part 4 describes.