Ifx is a geometric random variable with parameter p, what is the expectation value of 〈(1+x) 〉? 6 marks] d) a satellite system consists of n components and operates correctly on any given day if at least k of these components functions on that day. on a rainy day each of the components functions with a probability p,, whereas on a sunny day each functions with a probability . if the probability of rain is α , what is the probability that the satellite system operates correctly? 5 marks]

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.