2. A popular cricket club in Kumasi, has different categories of nembership since its formation in 1960 when Ghana became a Republic. The Table on the right hand side shows the categories of membership, the annual subscription for each category of membership and the probability that a new member will join that category. TECHNUDO NIVERSITY a) Show that the mean subscription paid by new members is GH€ 69.20 COLL Category Annual of membership FULL SENIOR COUNTRY JUNIOR b) Find the variance and standard deviation of the subscription paid by new members. subscription (GHC) 120.00 80.00 75.00 30.00 Probability 0.22 0.28 0.12 0.38 c) As the ground capacity is limited, only 400 new members can be accepted during the coming year. The club is to sta an international match and so expects more than 400 applications for membership. As a result, it was decided that on applications for full membership would be accepted. How many full members would the club need to accept in order receive more money in subscriptions than would have been provided by 400 members distributed as in the table giv above?
2. A popular cricket club in Kumasi, has different categories of nembership since its formation in 1960 when Ghana became a Republic. The Table on the right hand side shows the categories of membership, the annual subscription for each category of membership and the probability that a new member will join that category. TECHNUDO NIVERSITY a) Show that the mean subscription paid by new members is GH€ 69.20 COLL Category Annual of membership FULL SENIOR COUNTRY JUNIOR b) Find the variance and standard deviation of the subscription paid by new members. subscription (GHC) 120.00 80.00 75.00 30.00 Probability 0.22 0.28 0.12 0.38 c) As the ground capacity is limited, only 400 new members can be accepted during the coming year. The club is to sta an international match and so expects more than 400 applications for membership. As a result, it was decided that on applications for full membership would be accepted. How many full members would the club need to accept in order receive more money in subscriptions than would have been provided by 400 members distributed as in the table giv above?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![2. A popular cricket club in Kumasi, has different categories of
Category
Annual
Probability
membership since its formation in 1960 when Ghana became a Republic.
Of
subscription
The Table on the right hand side shows the categories of membership,
membership
(GHC )
the annual subscription for each category of membership and the probability
FULL
120.00
0.22
UNIVERSITY
that a new member will join that category.
SENIOR
80.00
0.28
COUNTRY
75.00
0.12
JUNIOR
30.00
0.3
(a) Show that the mean subscription paid by new members is GH¢ 69.20
(b) Find the variance and 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). [ Hint: Use Discrete Probability Distribution ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba920361-1632-4211-9a53-990b5d555ac0%2F712500b8-6ae2-427e-9040-10c021e77fa9%2Fxaxmmpt_processed.png&w=3840&q=75)
Transcribed Image Text:2. A popular cricket club in Kumasi, has different categories of
Category
Annual
Probability
membership since its formation in 1960 when Ghana became a Republic.
Of
subscription
The Table on the right hand side shows the categories of membership,
membership
(GHC )
the annual subscription for each category of membership and the probability
FULL
120.00
0.22
UNIVERSITY
that a new member will join that category.
SENIOR
80.00
0.28
COUNTRY
75.00
0.12
JUNIOR
30.00
0.3
(a) Show that the mean subscription paid by new members is GH¢ 69.20
(b) Find the variance and 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). [ Hint: Use Discrete Probability Distribution ]
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