QUESTION 4 Imagine my work place has a problem with accidents. I monitor a sample of 100 of my workers over a week, collecting information on two things: 1) Were they a casual worker (Yes or No) 2) Did they have an accident that week (Yes or No). Assume there were 68 people who were not casual workers and 8 of them had an accident. Of those who were casual workers 3 of them had an accident. What is the probability that an employee chosen at random from this sample is a casual worker, given they had an accident this week this week? Please give your answer as a decimal, correct to two decimal places. QUESTION 5 Which one of the following statements is correct for any events A and B? Please note: when a question is written like this, the use of the word and can be assumed to just be the usual English word and. If I meant the logical and, I would write A n ; in the question. O a. P(A) + P(B) = P(AUB) + P(AnB) O b. P(AUB) = P(A) + P(B) + P(AnB) O C. P(AnB) = P(A) + P(B) + P(AUB) O d. P(A UB) = P(A) + P(B) - P(AUB) QUESTION 6 Which one of the following statements is correct? O a. P(AC) = P(A) - 1 O b. P(A) = 1- P(A" ) O c. P(A) = P(1 - A") O d. P(AC) = P(1 - A)