Let $p=0.25$ 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.
a. State the population distribution (that is, the probability distribution of X for each observation).
$P(X=1) = 0.25$ and $P(X=0) = 0.75$
(Type integers or decimals. Do not round.)
b. State the data distribution if 42 of the 70 owners sampled have the app. (That is, give the sample proportions of observed 0s and 1s in the sample.)
The proportion for $x=1$ is $0.6$ and the proportion for $x=0$ is $0.4$.
(Type integers or decimals. Do not round.)
c. Find the mean of the sampling distribution of the sample proportion who have the app among the 70 people.
mean = (Type an integer or a decimal. Do not round.)