Describe the shape of the distribution. The distribution has one mode and is skewed right. (e) Determine the mean and standard deviation number of credit cards from the probability distribution found in part (c). The mean is 3.11 credit cards. (Type an integer or a decimal. Do not round.) The standard deviation is 1.854 credit cards. (Round to three decimal places as needed.) (f) Determine the probability of randomly selecting an individual whose number of credit cards is more than two standard deviations from the mean. Is this result unusual? The probability is (Type an integer or a decimal. Do not round.)

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Using the information. Solve for part F.

One question from a survey was "How many credit cards do you currently have?" The results of the survey are provided. Complete parts (a) through (g) below.
Click the icon to view the survey results.
(b) Determine the standard deviation number of credit cards based on the raw data.
The standard deviation is 1.863 credit cards.
(Round to three decimal places as needed.)
(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual.
x (# of cards) P(x)
x (# of cards)
P(x)
1
0.14
6.
0.02
0.29
7
0.02
3
0.30
0.02
4
0.11
9.
0.02
Credit Card Survey Results
0.07
10
0.01
(Type integers or decimals. Do not round.)
e shape of the distribution.
2
2
1
3
1
2
3
8
3
4
3
2
8
3
2
3
4
5
3
2
2
2
2
2
7
4
2
D.
5
9.
4
1
3
3
4
2
0.47
0.3-
2
10
3
4
4
2
3
7
2
1
0.4-
3
3
6
0.3-
2
2
3
2
1
4
3
2
0.2-
0.2-
4
3
1
1
4
1
1
0.1-
0.1-
6.
1
1
2
1
2
4
1
0-
10
2.
4 6 8 10
Probability, P(x)
Probability, P(x)
Transcribed Image Text:One question from a survey was "How many credit cards do you currently have?" The results of the survey are provided. Complete parts (a) through (g) below. Click the icon to view the survey results. (b) Determine the standard deviation number of credit cards based on the raw data. The standard deviation is 1.863 credit cards. (Round to three decimal places as needed.) (c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 1 0.14 6. 0.02 0.29 7 0.02 3 0.30 0.02 4 0.11 9. 0.02 Credit Card Survey Results 0.07 10 0.01 (Type integers or decimals. Do not round.) e shape of the distribution. 2 2 1 3 1 2 3 8 3 4 3 2 8 3 2 3 4 5 3 2 2 2 2 2 7 4 2 D. 5 9. 4 1 3 3 4 2 0.47 0.3- 2 10 3 4 4 2 3 7 2 1 0.4- 3 3 6 0.3- 2 2 3 2 1 4 3 2 0.2- 0.2- 4 3 1 1 4 1 1 0.1- 0.1- 6. 1 1 2 1 2 4 1 0- 10 2. 4 6 8 10 Probability, P(x) Probability, P(x)
Describe the shape of the distribution.
The distribution has one mode and is skewed right.
(e) Determine the mean and standard deviation number of credit cards from the probability distribution found in part (c).
The mean is 3.11 credit cards.
(Type an integer or a decimal. Do not round.)
The standard deviation is 1.854 credit cards.
(Round to three decimal places as needed.)
(f) Determine the probability of randomly selecting an individual whose number of credit cards is more than two standard
deviations from the mean. Is this result unusual?
The probability is
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:Describe the shape of the distribution. The distribution has one mode and is skewed right. (e) Determine the mean and standard deviation number of credit cards from the probability distribution found in part (c). The mean is 3.11 credit cards. (Type an integer or a decimal. Do not round.) The standard deviation is 1.854 credit cards. (Round to three decimal places as needed.) (f) Determine the probability of randomly selecting an individual whose number of credit cards is more than two standard deviations from the mean. Is this result unusual? The probability is (Type an integer or a decimal. Do not round.)
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