PROBLEM 5 (30 points): given in a previous midterm Some collected data is presen
ID: 3208961 • Letter: P
Question
PROBLEM 5 (30 points): given in a previous midterm
Some collected data is presented in the table below:
Age
Team
{18-20}
{21 – 25}
{26-30}
Above 30
Jumping High
6
10
11
8
Speedy Skies
3
15
20
20
Winter Fun
18
10
8
6
Give the literal formula first (not with numbers) and then solve:
“What is the probability of being a Winter Fun member given that you are in the {26-30} age category”
Give the literal formula first (not with numbers) and then solve:
“What is the probability of being a Speedy Skies member of 29 years old”
Give the literal formula first (not with numbers) and then solve: “What is the probability of being younger than 26 years (either in {18-20} or {21-25}) given that you are a member of Jumping High team”.
Give the literal formula first (not with numbers) and then solve:
“What is the probability of being a member of Jumping High or a member of Speedy Skies team.
Give the literal formula first (not with numbers) and then solve:
“What is the probability of not being a member of Jumping High team”
Is there any relationship between being in {18-20} age category and belonging to a specific team? (relationship between age and team)
Age
Team
{18-20}
{21 – 25}
{26-30}
Above 30
Jumping High
6
10
11
8
Speedy Skies
3
15
20
20
Winter Fun
18
10
8
6
Explanation / Answer
Solution:-
1) The probability of being a Winter Fun member given that you are in the {26-30} age category is 0.2051
Number of member in the {26-30} age category = 39
Number of winter fun in {26-30} age category = 8
The probability of being a Winter Fun member given that you are in the {26-30} age category = 8/39 = 0.20513.
2) The probability of being a Speedy Skies member of 29 years old is 0.148
Number of speedy Skies member of 29 years = 20
Total members = 135
The probability of being a Speedy Skies member of 29 years old = 20/135 = 0.148148
3) The probability of being younger than 26 years (either in {18-20} or {21-25}) given that you are a member of Jumping High team is 0.457.
Total members of Jumping high team = 35
Number of member younger than 26 years (either in {18-20} or {21-25}) = 16
The probability of being younger than 26 years (either in {18-20} or {21-25}) given that you are a member of Jumping High team = 16/35 = 0.45714
4) The probability of being a member of Jumping High or a member of Speedy Skies team is 0.6889
Number of member of Jumping High or a member of Speedy Skies team = 93
Total members = 135
The probability of being a member of Jumping High or a member of Speedy Skies team = 93/135 = 0.6889
5) The probability of not being a member of Jumping High team is 0.74074.
Members who are not in Jumping High team = 100
Total members = 135
The probability of not being a member of Jumping High team = 100/135 = 0.74074
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