7. 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. 1 Click the icon to view the survey results. sa Determine the mean number of credit cards based on the raw data. The mean is credit cards. (Type an integer or a decimal. Do not round.) B 6) Determine the standard deviation number of credit cards based on the raw data. The standard deviation is credit cards. (Round to three decimal places as needed.) x (# of cards) C Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) P(x) 1 6. 3 8. 10 (Type integers or decimals. Do not rol

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Question
Data Táble on
znd Poge
7. 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.
1 Click the icon to view the survey results.
A (a Determine the mean number of credit cards based on the raw data.
The mean is
credit cards.
(Type an integer or a decimal. Do not round.)
B
(b) Determine the standard deviation number of credit cards based on the raw data.
The standard deviation is
credit cards.
(Round to three decimal places as needed.)
x (# of cards)
O. C Determine a probability distribution for the random
variable, X, the number of credit cards issued to an
individual.
x (# of cards)
P(x)
P(x)
1
6.
7
8
4
9
10
(Type integers or decimals. Do not round.)
(d) Draw a graph of the discrete probability distribution for the random variable X. Describe the shape of the distribution.
Graph the distribution. Choose the correct graph below.
OA.
OB.
Oc.
OD.
0.4
0.4-
0.4-
0.4-
0.3-
0.3-
0.3-
0.3-
0.2-
0.2-
0.2-
0.2-
0.1-
0.1-
0.1-
0.1+
0-
0 2 4 6 8 10
# of credit cards, x
0 2 4 6 8 10
# of credit cards, x
0-
0 2 4 6 8 10
# of credit cards, x
0 2 4 6 8 10
# of credit cards, x
Describe the shape of the distribution.
The distribution (1)
and is (2)
(e) Determine the mean and standard deviation number of credit cards from the probability distribution found in part (c).
The mean is
credit cards.
(Type an integer or a decimal, Do not round.)
The standard deviation is
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.)
This result (3)
unusual because the probability is (4).
Probability, P(x)
Probability, P(x)
Probability,
Probability, P(x)
Transcribed Image Text:Data Táble on znd Poge 7. 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. 1 Click the icon to view the survey results. A (a Determine the mean number of credit cards based on the raw data. The mean is credit cards. (Type an integer or a decimal. Do not round.) B (b) Determine the standard deviation number of credit cards based on the raw data. The standard deviation is credit cards. (Round to three decimal places as needed.) x (# of cards) O. C Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) P(x) 1 6. 7 8 4 9 10 (Type integers or decimals. Do not round.) (d) Draw a graph of the discrete probability distribution for the random variable X. Describe the shape of the distribution. Graph the distribution. Choose the correct graph below. OA. OB. Oc. OD. 0.4 0.4- 0.4- 0.4- 0.3- 0.3- 0.3- 0.3- 0.2- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1- 0.1+ 0- 0 2 4 6 8 10 # of credit cards, x 0 2 4 6 8 10 # of credit cards, x 0- 0 2 4 6 8 10 # of credit cards, x 0 2 4 6 8 10 # of credit cards, x Describe the shape of the distribution. The distribution (1) and is (2) (e) Determine the mean and standard deviation number of credit cards from the probability distribution found in part (c). The mean is credit cards. (Type an integer or a decimal, Do not round.) The standard deviation is 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.) This result (3) unusual because the probability is (4). Probability, P(x) Probability, P(x) Probability, Probability, P(x)
(g) Determine the probability of randomly selecting two individuals who are issued exactly two credit cards. [Hint: Are the
events independent?] Interpret this result.
The probability is
(Round to three decimal places as needed.)
Interpret this result. Select the correct choice below and fill in the answer box within your choice.
O A. If two individuals were randomly selected and surveyed 100 different times, the surveyors
of the surveys to result in two people with two credit
would expect about
cards.
(Round to the nearest whole number as needed.)
O B. Whenever multiple people are surveyed, the probability that the mean number of credit cards
will be exactly two is
(Round to three decimal places as needed.)
OC. Whenever a couple applies for credit cards, the probability that they will each obtain exactly
two credit cards is
(Round to three decimal places as needed.)
O D. If an individual is chosen at random, the probability that they have exactly two credit cards is
(Round to three decimal places as needed.)
*Dates*
1: Credit Card Survey Results
1
3
3
3
2
2
3
3
3
8
3
2
2
8
3
3
3
3
2
2
2
7
2
4
1
3
3
4
2
3
4
4.
2
1
10
3
5
9
2
3
6
3
4
3
3
1
1
4.
3
3
1
1
4
4
1
3
2
1
2
1
(3)
O is
(2) O skewed right.
O roughly symmetric.
(1)
O is bimodal
O is not
has one mode
O skewed left.
is uniform
O is multimodal
O greater than 0.5.
O equal to 0.05.
O greater than 0.05.
(4) O less than 0.05.
O 0.
O less than 0.5.
O equal to 0.5.
Transcribed Image Text:(g) Determine the probability of randomly selecting two individuals who are issued exactly two credit cards. [Hint: Are the events independent?] Interpret this result. The probability is (Round to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box within your choice. O A. If two individuals were randomly selected and surveyed 100 different times, the surveyors of the surveys to result in two people with two credit would expect about cards. (Round to the nearest whole number as needed.) O B. Whenever multiple people are surveyed, the probability that the mean number of credit cards will be exactly two is (Round to three decimal places as needed.) OC. Whenever a couple applies for credit cards, the probability that they will each obtain exactly two credit cards is (Round to three decimal places as needed.) O D. If an individual is chosen at random, the probability that they have exactly two credit cards is (Round to three decimal places as needed.) *Dates* 1: Credit Card Survey Results 1 3 3 3 2 2 3 3 3 8 3 2 2 8 3 3 3 3 2 2 2 7 2 4 1 3 3 4 2 3 4 4. 2 1 10 3 5 9 2 3 6 3 4 3 3 1 1 4. 3 3 1 1 4 4 1 3 2 1 2 1 (3) O is (2) O skewed right. O roughly symmetric. (1) O is bimodal O is not has one mode O skewed left. is uniform O is multimodal O greater than 0.5. O equal to 0.05. O greater than 0.05. (4) O less than 0.05. O 0. O less than 0.5. O equal to 0.5.
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