Question

7) During the Coronavirus lockdown, 115 people were asked about their favorite games and snacks. The table below shows the results of the survey. Use proper probability notation throughout the problems. The events are defined below. Pizza Rolls Chips and Dip Cookies Totals Events Poker 10 1225 PR = likes to eat Pizza Rolls CD = likes to eat Chips and Dip Trivial Pursuit 8 C = likes to eat Cookies Monopoly = likes to play Poker = likes to play Trivial Pursuit Wii Bowling 12 , M = likes to play Monopoly Totals W = likes to play Wii Bowling (a) (8 points) Fill in the missing data. A person is selected at random from this group. Find the following probabilities. (b) (2 points) The person likes Wii Bowling and Cookies (c) (3 points) The person does not like Monopoly. (d) (4 points) The person likes Trivial Pursuit or Pizza Rolls (e) (5 points) The person likes Pizza Rolls given they like to play Wii Bowling. (f) (5 points) The person likes to play Poker given they like to eat Chips and Dip.

Answer 1

Answer file is attached below.

solution :- 7. The givens table is fill with data. a) Missing data is in the circle. - Pizza Chips and cookies Poker / 10 13 | 12 Trivia! 8 9 Monopoly 14 | 17 | .7 Wii Bowling 12 Rolls Dib . Trivial LPursnit totals | 25 1 29.) | 38 | . 23 Z Totals 44 41 het a be the event that implies A person likes I wil Bowling and cookies. .. . i n (A) = 4. also Total No. of people is 15: 1. PCA) = 15 i. The propability of the person likes wil Bowling and cookiees is the

- C. Let B be an event that, the person likes Monopoly :. 9) = 38. and nee) = 115-38 = 77, . where Be is an event that, the person does not liken 1. Monopoly. . P (Be) = 377 :. The probability of the person who does not likes z monopoly is 77, . d. .. Let Leta C beam event that the person like Trivial pursuit and D be an event that the person. like Pizza Rolls . .', n © = 29, 7(0) = 44, and n (and) = 8. Noo P COUD - Ple) tp (0) - P(end is =2495 + his report . The probability of the person likes Trivial pursuit or Rizza Rolls. is 13 Let E beam event that the person like to plovy Wii Bowling. in(E) = 23. also from previons part D represent the event of the person like Pizza Rolls- MCD)= 44. Lowo, we have to fina P ( 1 E) usinis formula of Conditional probabilith, PColE = P (DRE), Nm none) = 12. PCE) 30 - e). 12/15 23/15 ". The probability of the person likes Rizza Rolls givers they like to play wil Bowling is 12.

Let f be an event of the person like to play . Poker. and G be an event of the person like to eat 1. Chips and Dip. Now n (F) = 25, (G)=41. and n (ENG) = 3. Noo will have to find P (FIG) is PCFIG) 3 P (ENG) - 3/15 . - P(G) . 41/115 11 ". The probability of the person likes to plan Poker . given they like to eat chips and Dip, is 2 / Ans.