When you buy a lottery ticket, there are two possible outcomes: either you win a big amount, or you don't win anything and lose the price of the ticket Lottery outcomes Probabilities of outcomes Winning of $247,682 0.00003 Losing $8 0.99997 Calculate your expected winnings. Round the answer to two decimal places. A bank manager wants to compute probabilities that incoming customers open savings account, checking account or both. She already found out that the probability that a customer opens checking account is 0.84 and that the probability that a customer opens both checking account and savings account is 0.26. What is the probability that a customer opens savings account, given that the customer already has checking account? Round your answer to two decimal places. For the standard normal distribution, compute Z0.03. Use Excel and round the answer to two decimal places. QUESTION 14 Your store profit for the coming year is a random variable X. You estimate the following outcomes for this random variable together with the associated probabilities. X 277,164 P(X) 0.25 133,386 0.35 -55,016 0.4 Calculate the expected profit. Round the answer to two decimal places. I In a statistics course, the average student result is 65.4% with the standard deviation of 9.2%. If Jake has completed the course with the score of 86.7%, what was Jake's z-Score? Round your answer to two decimal places. Business Poor Unit Medium Excellent Performance Performance Performance ABC 34 65 67 166 76 14 67 157 81 45 90 216 191 124 224 539 Take a look at the table which shows the structure of a small production facility. The numbers in the table stand for the number of employees working in a specific business unit and having specific performance level. An employee is selected at random. Find the CORRECT statements. Keep in mink that the mark will be reduced for incorrect answers - do not guess. All probabilities have been rounded to three decimal places. The probability that an employee has an excellent performance, given that the employee is from business unit A, is 0.404 The probability that an employee is from business unit C, or that an employee has excellent performance is 0.816 The probability that an employee is from business unit B and has medium performance is 0.026 The probability that an employee does not have excellent performance is 0.416