A wildlife reserve offers six types of annual membership to individuals. The charges are shown in the table below. Individual Membership Type Membership Charges per year,$ Friends of Bird Park 39 Friends of River Safari 65 Friends of the 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 the 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. The probability of observing the mean annual membership charges of a group of 30 members to be more than $105=______.Please fill in the blank.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A wildlife reserve offers six types of annual membership to individuals. The charges are shown in the table below.

Individual Membership Type Membership Charges per year,$
Friends of Bird Park 39
Friends of River Safari 65
Friends of the 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 the 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.

The probability of observing the mean annual membership charges of a group of 30 members to be more than $105=______.Please fill in the blank.

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