0 Question 15 v The table below gives information about a random sample of trees, and whether or not theyr have been affected by a drought. Suppose one tree is chosen at random from this data. AffectedNType Pine Fir Cedar Total Yes 31 38 46 115 No 140 111 136 387 Total 171 149 182 502 Find the probability [round to three decimals) that the tree: a. is a Cedar tree: C] b. was affected by the drought: C] c. is a Cedar tree and was affected: [:] d. is a Cedar tree tree or was affected: [:] e. is a Cedar, given that it was affected: f. was affected, given that it is a Cedar: C] . Question 16 v E 0.13 pts '0 The table below gives information about a random sample of men and women, and how they rate their level of happiness. Suppose one person is chosen at random from this data. GenderlHappiness Very happy Somewhat happy Unhappy Total Male 39 39 30 108 Female 102 121 105 328 Total 141 160 135 436 Find the probability [round to three decimals) that the person is: 3. Somewhat happy: [:] b. Male : C] 5. Somewhat happy and Male : C] d. Somewhat happy or Male: [:] e. Somewhat happy, given that they are Male: [:] f. Male, given that they are Somewhat happy: [:] . Question 18 The table below gives information about a random sample of trees, and whether or not they have been affected by a drought. Suppose one tree is chosen at random from this data. Affected?/Type Pine Fir Cedar Total Yes 45 34 44 123 No 138 113 111 362 Total 183 147 155 485 Recall that A and B are independent if P(A) = P(A/B). To allow for sampling error, use probabilities rounded to one decimal to answer: The events "Cedar tree" and "was affected by the drought" are: O dependent and mutually exclusive O dependent and not mutually exclusive O independent and not mutually exclusive O independent and mutually exclusive. Question 19 v I Q Aweighted coin comes up Heads 55% of the times it is flipped. You flip this coin twice. The tree diagram above represents the possible outcomes. a. The outcomes "Tails on first flip" and 'Tails on second flip" are: independent 0 dependent Determine the probabilities for all the outcomes in the sample space, then use those results to answer this question: What is the probability of flipping Tails exactly once in the two flips? Round your answer to three decimals if needed. %I