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5. Some elementary school children are asked their favorite activity (they could only list 1) to do during the summer and their age. Use the

5. Some elementary school children are asked their favorite activity (they could only list 1) to do during the summer and their age. Use the data in the table below to answer the following questions. Show the computation on each of these (e.g. 95/274 = 0.347). Round to 3 places. (20 pts)

5-6 years 7-8 years 9-10 years Total
Ride Bicycle 31 25 22 78
Go Swimming 35 32 41 108
Play Video Games 10 19 22 51
Read 12 15 10 37
Total 88 91 95 274
  1. What is the probability a randomly selected child is 9-10 years?

  1. What is the probability a randomly selected child listed Ride Bicycle as their favorite activity?

  1. What is the probability a randomly selected child is 9 -10 years old OR listed Ride Bicycle as their favorite activity?

  1. What is the probability a randomly selected child is 9 - 10 years old AND listed Rid Bicycle as their favorite activity?

  1. What is the probability a randomly selected child listed Reading or Ride Bicycle as their favorite activity?

  1. Are the events "Ride Bicycle" and "9-10 year olds" mutual excusive?

  1. Are the events "Reading" and "Ride Bicycle" mutual excusive?

  1. What is the probability a randomly selected child is 9-10 years old GIVEN that their favorite activity is to Read? Round to the nearest thousandth.

  1. What is the probability that a randomly selected child's favorite activity is Reading GIVEN that they are 9-10 years old? Round to the nearest thousandth.

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