f (2) Rexmar Pasci X *Homework Help X C Get Homework | X &Discover the Bes X G What is the prol X C What Is The Pro X PDE PROBLEM SETS X + 17 X File | C:/Users/rexma/OneDrive/Desktop/Special%20Topics/Problem%20Sets/PROBLEM%20S... of 5 - + 2 A' Read aloud Draw V Highlight & Erase PROBABILITY AND STATISTICS 1. One fair die is used in a dice game. The player wins $ 25 if he rolls either a 1 or a 6. He loses $ 5 if he tums up any other face. What is the expected winning for one roll of the die? A. $ 1.00 B. $ 3.00 C. $ 5.00 D. $ 7.00 2. What is the probability that either three heads or four heads will be thrown if six fair coins are tossed at once? A. 0.147 B. 0.347 C. 0.547 D. 0.747 4. Two students are working independently on a problem. Their respective probabilities of solving the problem are 0.30 and 0.70. What is the probability that at least one of them will solve the problem? A. 0. 19 B. 0.39 C. 0.59 D. 0.79 5. What is the sample variance of the following numbers? 2,4,6,8, 10, 12, 14, 16 A. 20 B. 22 C. 24 D. 26 6. What is the probability of picking an orange ball and a white ball out of a bag containing seven orange balls, eight green balls, and four white balls? A. 0. 16374 B. 0.36374 C. 0.56374 D. 0.76374