Probability and statisticsSolve the following problems in the spaces providedThe following problems

Probability and statisticsSolve the following problems in the spaces providedThe following problems and submit your answers at the end of the next classYour working should be clearly explained and how you arrive at your conclusions indicated.1. Consider the following outcomes for an experiment:Outcome 1 2 3 4 5Probability .20 .25 .15 .10 .30Let event A consist of outcomes 1, 3, and 5 and event B consist of outcomes 4 and 5.a. Find P(A) and P(B).b. Find P(both A and B occur).c. Find P(either A or B occurs).2. A study was conducted to determine urine flow of sheep (in milliliters/minute) when infusedintravenously with the antidiuretic hormone ADH. The urine flows of 10 sheep are recordedhere. 0.7, 0.5, 0.5, 0.6, 0.5, 0.4, 0.3, 0.9, 1.2, 0.9a. Determine the mean, the median, and the mode for these sample data.b. Suppose that the largest measurement is 6.8 rather than 1.2. How does this affect the mean,the median, and the mode?