5 Marks According to the World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 160 people in Uganda. Let X= the number of people who have access to electricity. a) What is the probability distribution for X? b) Using the formulas, calculate the mean and standard deviation of X. c) Find the probability that 17 people in the sample have access to electricity. Show working or give the excel formula with the parameters. d) Find the probability that at most ten people in the sample have access to electricity. Show working or give the excel formula with the parameters. e) Find the probability that more than 35 in the sample have access to electricity. Show working or give the excel formula with the parameters.​

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Where is the diagram