a)

Individual Membership Type Membership Charges per year, $ Friends of Bird Park 39 Friends of River Safari 65 Friends of Singapore Zoo 105 Friends of Night Safari 105 Friends of Wildlife 145 Friends of Wildlife Plus 205 Of all the individuals who have taken up the annual membership, 20% hold Friends of Bird Park membership, 10% hold Friends of River Safari membership, 15% hold Friends of Singapore Zoo membership, 25% hold Friends of Night Safari membership, 10% hold Friends of Wildlife membership and 20% hold Friends of Wildlife Plus membership. Assume no individual can hold more than one type of membership. If five members are randomly selected, the probability to have two members holding Friends of Wildlife Plus annual membership = 1 (write your answer in a numeric form up to 3 decimal places)The probability of observing the mean annual membership charges of a group of 30 members to be more than $105 = 1 (write your answer in a numeric form up to 3 decimal places)