The diagram below shows part of the screen from a weather forecasting website showing the data for town A. The percentages on the bottom row represent the likelihood of some rain during the hour leading up to the time given. For example there is a 69% chance (a probability of 0. 69) of rain falling on any point in town A between 0900 and 1000. 09:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00 17:00 18:00 23" 23" 220 210 20 1go 180 5496 69% 78% 729% 489% 27% 21% 13% 5% Paula works at a building site in the area covered by this page of the website from 0900 to 1700. She has lunch from 1300 to 1400. 2a. Write down the probability it rains during Paula's lunch break. [1 mark] In the following parts you may assume all probabilities are independent. Paula needs to work outside between 1000 and 1300. 2b. Find the probability it will rain in each of the three hours Paula is working [2 marks] outside.Paula will also spend her lunchtime outside. 2c. Find the probability it will not rain while Paula is outside. [2 marks} 2d. Find the probability it will rain at least once while Paula is outside. [2 marks}