Question

Instructions: Answer each of the following 4 items showing all work and/or explanation. Item = 1: Probahility a Descriptive Statistics You asked 35 persons their age, gender and the number of Christmas gifts they would be griving in total regardless of size, price or relationship. The following data was obtained. \begin{tabular}{|r|r|l|r|} \hline No. & Age & \begin{tabular}{l} Gende \\ r \end{tabular} & \multicolumn{1}{l|}{ Gifts } \\ \hline 1 & 23 & F & 57 \\ \hline 2 & 27 & M & 1 \\ \hline 3 & 33 & M & 22 \\ \hline 4 & 21 & F & 73 \\ \hline 5 & 21 & F & 57 \\ \hline 6 & 9 & F & 83 \\ \hline 7 & 67 & M & 60 \\ \hline 8 & 41 & F & 48 \\ \hline 9 & 10 & F & 97 \\ \hline 10 & 12 & F & 60 \\ \hline 11 & 27 & M & 36 \\ \hline 12 & 34 & F & 32 \\ \hline 13 & 33 & F & 31 \\ \hline 14 & 45 & M & 67 \\ \hline 15 & 12 & F & 51 \\ \hline 16 & 47 & M & 22 \\ \hline 17 & 51 & F & 42 \\ \hline 18 & 14 & M & 33 \\ \hline \end{tabular} \begin{tabular}{|r|r|l|r|} \hline No. & Age & \begin{tabular}{l} Gende \\ r \end{tabular} & \multicolumn{1}{l|}{ Gfts } \\ \hline 19 & 17 & F & 73 \\ \hline 20 & 33 & M & 6 \\ \hline 21 & 33 & M & 35 \\ \hline 22 & 43 & M & 100 \\ \hline 23 & 26 & M & 23 \\ \hline 24 & 20 & M & 1 \\ \hline 25 & 10 & F & 38 \\ \hline 26 & 41 & F & 38 \\ \hline 27 & 42 & M & 4 \\ \hline 28 & 23 & F & 33 \\ \hline 29 & 26 & F & 65 \\ \hline 30 & 33 & F & 32 \\ \hline 31 & 27 & M & 1 \\ \hline 32 & 14 & F & 35 \\ \hline 33 & 29 & F & 67 \\ \hline 34 & 30 & F & 54 \\ \hline 35 & 40 & M & 19 \\ \hline \end{tabular} You may need to organize the data to answer the following questions. Use visual representations where appropriate. (a) Use the above data to answer the following: (i) If two persons are selected at random, what is the probability of selecting one male and one female and only one of them is 35 years or older and will be giving more than 40 gitts? (ii) If a person selected at random is known to be older than 35 years, what is the probability it is a male that is giving less than 30 gifts this year? (b) Compare and contrast the distribution of gifts given based on gender. (c) Is there a relationship between the number of gifts being given and the ages of the participants? Explain.

          Instructions: Answer each of the following 4 items showing all work and/or explanation.
Item = 1: Probahility a Descriptive Statistics
You asked 35 persons their age, gender and the number of Christmas gifts they would be griving in total regardless of size, price or relationship. The following data was obtained.
\begin{tabular}{|r|r|l|r|}
\hline No. & Age & \begin{tabular}{l} 
Gende \\
r
\end{tabular} & \multicolumn{1}{l|}{ Gifts } \\
\hline 1 & 23 & F & 57 \\
\hline 2 & 27 & M & 1 \\
\hline 3 & 33 & M & 22 \\
\hline 4 & 21 & F & 73 \\
\hline 5 & 21 & F & 57 \\
\hline 6 & 9 & F & 83 \\
\hline 7 & 67 & M & 60 \\
\hline 8 & 41 & F & 48 \\
\hline 9 & 10 & F & 97 \\
\hline 10 & 12 & F & 60 \\
\hline 11 & 27 & M & 36 \\
\hline 12 & 34 & F & 32 \\
\hline 13 & 33 & F & 31 \\
\hline 14 & 45 & M & 67 \\
\hline 15 & 12 & F & 51 \\
\hline 16 & 47 & M & 22 \\
\hline 17 & 51 & F & 42 \\
\hline 18 & 14 & M & 33 \\
\hline
\end{tabular}
\begin{tabular}{|r|r|l|r|}
\hline No. & Age & \begin{tabular}{l} 
Gende \\
r
\end{tabular} & \multicolumn{1}{l|}{ Gfts } \\
\hline 19 & 17 & F & 73 \\
\hline 20 & 33 & M & 6 \\
\hline 21 & 33 & M & 35 \\
\hline 22 & 43 & M & 100 \\
\hline 23 & 26 & M & 23 \\
\hline 24 & 20 & M & 1 \\
\hline 25 & 10 & F & 38 \\
\hline 26 & 41 & F & 38 \\
\hline 27 & 42 & M & 4 \\
\hline 28 & 23 & F & 33 \\
\hline 29 & 26 & F & 65 \\
\hline 30 & 33 & F & 32 \\
\hline 31 & 27 & M & 1 \\
\hline 32 & 14 & F & 35 \\
\hline 33 & 29 & F & 67 \\
\hline 34 & 30 & F & 54 \\
\hline 35 & 40 & M & 19 \\
\hline
\end{tabular}

You may need to organize the data to answer the following questions. Use visual representations where appropriate.
(a) Use the above data to answer the following:
(i) If two persons are selected at random, what is the probability of selecting one male and one female and only one of them is 35 years or older and will be giving more than 40 gitts?
(ii) If a person selected at random is known to be older than 35 years, what is the probability it is a male that is giving less than 30 gifts this year?
(b) Compare and contrast the distribution of gifts given based on gender.
(c) Is there a relationship between the number of gifts being given and the ages of the participants? Explain.

Instructions: Answer each of the following 4 items showing all work and/or explanation.
Item = 1: Probahility a Descriptive Statistics
You asked 35 persons their age, gender and the number of Christmas gifts they would be griving in total regardless of size, price or relationship. The following data was obtained.

No. Age
Gende

r
1l| Gifts

1 23 F 57

2 27 M 1

3 33 M 22

4 21 F 73

5 21 F 57

6 9 F 83

7 67 M 60

8 41 F 48

9 10 F 97

10 12 F 60

11 27 M 36

12 34 F 32

13 33 F 31

14 45 M 67

15 12 F 51

16 47 M 22

17 51 F 42

18 14 M 33

No. Age
Gende

r
1l| Gfts

19 17 F 73

20 33 M 6

21 33 M 35

22 43 M 100

23 26 M 23

24 20 M 1

25 10 F 38

26 41 F 38

27 42 M 4

28 23 F 33

29 26 F 65

30 33 F 32

31 27 M 1

32 14 F 35

33 29 F 67

34 30 F 54

35 40 M 19

You may need to organize the data to answer the following questions. Use visual representations where appropriate.
(a) Use the above data to answer the following:
(i) If two persons are selected at random, what is the probability of selecting one male and one female and only one of them is 35 years or older and will be giving more than 40 gitts?
(ii) If a person selected at random is known to be older than 35 years, what is the probability it is a male that is giving less than 30 gifts this year?
(b) Compare and contrast the distribution of gifts given based on gender.
(c) Is there a relationship between the number of gifts being given and the ages of the participants? Explain.

Added by Margaret P.

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