Related questions with answers

According to an August 2011 survey by the Pew Internet & American Life Project, nearly 40% of adult cell phone owners have downloaded an application ("app") to their cell phone. The accompanying table gives the probability distribution for x, the number of apps used at least once a week by cell phone owners who have downloaded an app to their phone. (The probabilities in the table are based on information from the Pew Internet & American Life Project survey.)

\begin{matrix} \text{Number of Apps Used, x} & \text{p(x)}\\ \text{0} & \text{.17}\\ \text{1} & \text{.10}\\ \text{2} & \text{.11}\\ \text{3} & \text{.11}\\ \text{4} & \text{.10}\\ \text{5} & \text{.10}\\ \text{6} & \text{.07}\\ \text{7} & \text{.05}\\ \text{8} & \text{.03}\\ \text{9} & \text{.02}\\ \text{10} & \text{.02}\\ \text{11} & \text{.02}\\ \text{12} & \text{.02}\\ \text{13} & \text{.02}\\ \text{14} & \text{.01}\\ \text{15} & \text{.01}\\ \text{16} & \text{.01}\\ \text{17} & \text{.01}\\ \text{18} & \text{.01}\\ \text{19} & \text{.005}\\ \text{20} & \text{.005}\\ \end{matrix}

a. Show that the properties of a probability distribution for a discrete random variable are satisfied. b. Find $P(x \geq 10)$ .

Explain the microscopic mechanisms for the relation of macroscopic variables for an isothermal process, an isobaric process, and an isochoric process occurring in an ideal gas.

What are the three fundamental elements of an effective security program for information systems?