3. TripAdvisor allows its users to rate restaurants on a scale of 1 stars to 5 stars with 1 star being the worse and 5 stars being the best. A pie chart showing the ratings given to Emma's Eatery by Trip Advisor raters is shown below. Trip Advisor Rating for Emma's Eatery an; Suppose rater of Emma's is chosen at random. Find the following probabilities: a. The probability that the rater gave Emma's a 2 star rating? b. The probability that the rater gave Em ma's a rating of 4 stars or better? c. The probability that the rater gave Em ma's a rating of worse than 4- stars? 4. Sup pose that a pair of 6-sided dice are thrown. The sample space is given twice below: 3.13.4.3. 3. IL]. 11.14.;- HIS-LII. 3.11.2.3. hi. Ell. 1.3.3.3.. 3. :3. U. 3.23.2323. 2:. ll. \"Ill-i.- 31.11.\". _*l.'_'i._*-_'1.ul. IL]- LJIZJILILJIEJIU. 3.3.2.. 3.3.11. 3.11.3.3 :1. U. H. 3.23.2: 1'1. 3:3. ll. 51.11.\" 11.33. II. a. Find the probability that we roll a 7 [Le ., that the sum of the upward faces of the two die equals 7}. b. Find the probability that the 1\" die is a 2 or that the sum of the die is less than or equal to 5. c. Find the probability that the 1\" die is a 2 and that the sum of the die is less than or equal to 5 5. A vase of roses contains 3 yellow roses, 4 white roses, and 2 red roses. 2 roses are picked at random, with the 151 rose being put back in the vase before the 2nd rose is picked. Find the following probabilities: a. P(Both roses are yellow] (hint: rewrite the problem as 2 separate events if you can] b. P(The rst rose is yellow and the second rose is white] 6. A vase of roses contains 3 yellow roses, 4 white roses, and 2 red roses. 2 roses are picked at random, with the 1:1 rose being n_ot being put back in the vase before the 2nd rose is picked. Find the following probabilities: a. P(Both roses are yellow] b. P(The rst rose is yellow and the second rose is white) c. If three roses are picked without replacement, nd the probability that the 1sL is white and the next two are not white. 7. A 50year male has a 1 in 279 chance of dying before reaching his 515L birthday. a. Calculate the probability that out of 100 50year old males, none will die before their 515L birthday. b. Calculate the probability that out of 100 50year old males, at least one will die before their 5151 birthday