03.03.2023


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03.11.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Specialist

400 NUMBERS. I WENT THROUGH AND TOOK OUT ALL THE 5's AND 6's AND THEN I PUT IT THROUGH A WORD COUNTER AND GOT 400

Step-by-step explanation:

3 2  2  2 4 2 3

2 2  3  1  4

2 2  3 2  4  3 3

1 1 2 1 3  3 3 2 3

3 3 3  2 1 3 1

4  2  4 4  1

1 1 1  1 2 1 4 2

3 2 4 3 4  3 2 2 3

4 1  3 2 3  3 3

3 2 4 2 3 4 3  1 4

4 3 1  3 2 3 2  4

2 4 3  1  2 3

3 3 1  1 3 4 2

1 3  3 4 2  4 4 4

1  1 3 3 4 1 2 4

4 4 4

2 3 4  3 1  1

2 2 4  4 1 1 1 2 3

3  3 2

3 3 3 2 3 1 1

3 4 1 3  3

3 4 2  2 4 1

3  4  4

4  2 4 3 2 4

1  4 4 1 2  1

4 3 4  1 2  4

3  4 1  1 2 3 1 1

3 1 3 3 1  4 4 3 1

1 3 4 4 1 1  3 1

4 4 1  1  1

2 1 1  1 4 2 1

2  1 4  4 1  4 3

2 1  3 1 3 4 2 2 2

4 4 1  2 3  2

3  1 1  1  1

4  4 3  4

4  4  1 1 1  2

1  1 1 3 2 2  1

4 1  2  2  2 2

3 1 2  2 1 3 4 2

1 3 1 1 4  4 1 1 2

1 3 4 3 4 2 2 3 3

1  4 1 3 1 1 4 2

4 4 4 1 1  4

3  1 4  2  1

2  1 1 2  3  3

1 3  2  1  3

1 4 1 2  1 1 3

2 4 4 2 1  2 2 2

4 2 2  4 1 3  2

1 4 1 1

4  4  1 1  4  2

2 2 2 2 3  1 3 3

4  1 4 4 1 4  1

3  2 1 1 3 1 2 4 4

4 1  4  1 5 3

3  2 2  2  4

1 4  3 4 3  2

3 3 2 4 2  2

4 1  3 4 3 1 2 4


How many numbers are lower than 5

3 2 5 2 6 6 2 4 2 3
2 2 6 6 3 6 6 1 6 4
2 2 6 3 2 6 4 5 3 3
1 1 2
Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

Hello!

You have the data on 443 rounds of golf played on the 12th hole.

The variable of interest is:

X: score of one round of golf played on the 12th hole.

To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.

a. Check attachment.

fi= absolute frequency

Fi= accumulated absolute frequencies

hi= relative frequency

Hi= accumulated relative frequency

b.

P(X≤4)

This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:

P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136

c.

The expected score of a discrete variable is:

E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29

d.

To calculate the variance of the variable you have to use the following formula:

V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]

V(X)= 0.993

e.

The standard deviation is the square root of the variance:

√V(X)=√0.993= 0.994

I hope it helps!


During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds
Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

Hello!

You have the data on 443 rounds of golf played on the 12th hole.

The variable of interest is:

X: score of one round of golf played on the 12th hole.

To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.

a. Check attachment.

fi= absolute frequency

Fi= accumulated absolute frequencies

hi= relative frequency

Hi= accumulated relative frequency

b.

P(X≤4)

This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:

P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136

c.

The expected score of a discrete variable is:

E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29

d.

To calculate the variance of the variable you have to use the following formula:

V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]

V(X)= 0.993

e.

The standard deviation is the square root of the variance:

√V(X)=√0.993= 0.994

I hope it helps!


During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds
Mathematics
Step-by-step answer
P Answered by Master

400 NUMBERS. I WENT THROUGH AND TOOK OUT ALL THE 5's AND 6's AND THEN I PUT IT THROUGH A WORD COUNTER AND GOT 400

Step-by-step explanation:

3 2  2  2 4 2 3

2 2  3  1  4

2 2  3 2  4  3 3

1 1 2 1 3  3 3 2 3

3 3 3  2 1 3 1

4  2  4 4  1

1 1 1  1 2 1 4 2

3 2 4 3 4  3 2 2 3

4 1  3 2 3  3 3

3 2 4 2 3 4 3  1 4

4 3 1  3 2 3 2  4

2 4 3  1  2 3

3 3 1  1 3 4 2

1 3  3 4 2  4 4 4

1  1 3 3 4 1 2 4

4 4 4

2 3 4  3 1  1

2 2 4  4 1 1 1 2 3

3  3 2

3 3 3 2 3 1 1

3 4 1 3  3

3 4 2  2 4 1

3  4  4

4  2 4 3 2 4

1  4 4 1 2  1

4 3 4  1 2  4

3  4 1  1 2 3 1 1

3 1 3 3 1  4 4 3 1

1 3 4 4 1 1  3 1

4 4 1  1  1

2 1 1  1 4 2 1

2  1 4  4 1  4 3

2 1  3 1 3 4 2 2 2

4 4 1  2 3  2

3  1 1  1  1

4  4 3  4

4  4  1 1 1  2

1  1 1 3 2 2  1

4 1  2  2  2 2

3 1 2  2 1 3 4 2

1 3 1 1 4  4 1 1 2

1 3 4 3 4 2 2 3 3

1  4 1 3 1 1 4 2

4 4 4 1 1  4

3  1 4  2  1

2  1 1 2  3  3

1 3  2  1  3

1 4 1 2  1 1 3

2 4 4 2 1  2 2 2

4 2 2  4 1 3  2

1 4 1 1

4  4  1 1  4  2

2 2 2 2 3  1 3 3

4  1 4 4 1 4  1

3  2 1 1 3 1 2 4 4

4 1  4  1 5 3

3  2 2  2  4

1 4  3 4 3  2

3 3 2 4 2  2

4 1  3 4 3 1 2 4


How many numbers are lower than 5

3 2 5 2 6 6 2 4 2 3
2 2 6 6 3 6 6 1 6 4
2 2 6 3 2 6 4 5 3 3
1 1 2

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