The questions are in the images, Can you please show the complete solutions. I greatly appreciate the help I can get. Thank you !

QUESTION 1 8 points Save Answer The sample space includes whole numbers 1 up to 10 (inclusive). Event A is all numbers less than 5. List the following: Notes: - Input the set elements in order from smallest to greatest with a comma separating each element. - Input the probabilities as a percent rounded to 3 significant digits as needed. Include the percent sign. S = { 1,2,3,4,5,6,7,8,9,10 n(S) = 10 A = { 9,10 n(A) = 2 P(A) = 20% A = { n(A) = P(A) =QUESTION 10 2 points Save Answer A sample of 50 children at a Pediatric Clinic were surveyed regarding their preferences for flavour vitamins. Below are the results. Flavour Preference Totals Age Strawberry Chocolate Banana 3 to 5 years old 2 7 13 22 6 to 8 years old 3 5 5 13 9 to 11 years old 5 3 7 15 Totals 10 15 25 50 The events "randomly selecting a child who prefers the strawberry flavoured vitamin" and "randomly selecting a child who prefers the chocolate flavoured vitamin" are mutually exclusive. Note: Select whether the statement above is True or False. O True O FalseQUESTION 2 6 points Save Answer The sample space includes a deck of 52 playing cards. Event A is all heart face cards in the sample space. List the following: Note: Input the probabilities as a percent rounded to 3 signicant digits as needed. Include the percent sign. "(A) = P(A) = n03) = PM) = QUESTION 3 5 points Save Answer Afair 6-sided die is tossed and a four coloured spinner (blue, green, yellow, red) is spun. What is the probability that the 6-sided die lands on an even number and the spinner lands on green? Note: Input the probability as a percent rounded to three significant digits as needed. Include the percent sign. QUESTION 4 5 points Save Answer Three cards are drawn from a standard deck of 52 cards without replacement. What's the probability that all three cards are number cards (2-10)? Note: Input the probability as a percent rounded to three significant digits as needed. Include the percent sign. QUESTION 5 2 points Save Answer In the scenario below, identify whether the events are independent or dependent of each other. "The probability of drawing a king from a 52 card deck given that you've drawn a face card." The events are of each other. QUESTION 6 3 points save Answer Two events exist, such that: P(A)=0.8, P(A U B)=0.2, and P(A n B)=0.16 . Select ALL the properties of probability that are violated here. 7 a. 0 5 PM) 5 l _ b.None of the above. 7 c. 0 S P(B) S l ' d. ZP(AII outcomes) = 1 QUESTION 7 5 points Save Answer A study was conducted to determine if there is a relationship between a person's blood type and stomach cancer. From a sample of 124 participants with an AB blood type, 12 of them had stomach cancer, 27 had lung cancer and 5 had both cancers . What is the probability that a randomly selected participant had stomach or lung cancer? Note: Input the probability as a percent rounded to three significant digits. Include the percent sign. QUESTION 8 Astudy was conducted to determine if the results of a test indicated whether a disease was present or not in 200 trials. The results are listed in the table below. _ Test Result Presence of Disease + Result Result Total Present 84 3 87 Not Present 7 106 113 Total 91 109 200 What is the probability that a randomly selected subject received negative results and the disease was present? Note: Select the correct answer below as a percent rounded to 3 significant digits. "a.0.15% \"b.54.5% c.43.5% \"d.1.5% 5 points Save Answer QUESTION 9 5 points Save Answer 500 participants were asked what coping method they use to overcome poor mental health. The results are listed in the table below. Method Age Group Exercise Mindfulness Medication Therapy Total Activity Child 20 85 5 3 113 Adolescent go 52 7 14 153 Adult 100 38 23 73 234 Total 200 175 35 90 500 What is the probability that a randomly selected participant uses a mindfulness activity given that they are an adolescent? Note: Select the correct answer below as a percent rounded to 3 significant digits. ' ' a. 10.4% ' ' b. None of the above. ' ' c. 33.9% ' ' d.34.0%