(a) Show that the mean subscription paid by new members is GH¢ 69.20 (b) Find the standard deviation of the subscription paid by new members (c) As the ground capacity is limited, only 400 new members can be accepted during the coming year. The club is to stage an international match and so expects more than 400 applications for membership. As a result, it was decided that only applications for full membership would be accepted. How many full members would the club need to accept in order to receive more money in subscriptions than would have been provided by 400 members distributed as in the table given above?
(a) Show that the mean subscription paid by new members is GH¢ 69.20 (b) Find the standard deviation of the subscription paid by new members (c) As the ground capacity is limited, only 400 new members can be accepted during the coming year. The club is to stage an international match and so expects more than 400 applications for membership. As a result, it was decided that only applications for full membership would be accepted. How many full members would the club need to accept in order to receive more money in subscriptions than would have been provided by 400 members distributed as in the table given above?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
A popular cricket club in Kumasi, has different categories of membership since its
formation in 1960 when Ghana became a Republic. The following table shows the
categories of membership, the annual subscription for each category of membership and
the probability that a new member will join that category.
|
Category of membership |
Annual subscription ( GH¢ ) |
Probability |
|
FULL |
120.00 |
0.22 |
|
SENIOR |
80.00 |
0.28 |
|
COUNTRY |
75.00 |
0.12 |
|
JUNIOR |
30.00 |
0.38 |
(a) Show that the mean subscription paid by new members is GH¢ 69.20
(b) Find the standard deviation of the subscription paid by new members
(c) As the ground capacity is limited, only 400 new members can be accepted during the coming year. The club is to stage an international match and so expects more than 400 applications for membership. As a result, it was decided that only applications for full membership would be accepted. How many full members would the club need to accept in order to receive more money in subscriptions than would have been provided by 400 members distributed as in the table given above?
(d) Give one disadvantage of the decision in part (c).
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